\relax 
\citation{schoen}
\citation{nekovar}
\citation{zhang}
\citation{perrin-riou}
\citation{perrin-riou-aif}
\citation{perrin-riou-smf}
\citation{gross-zagier}
\citation{nekovar}
\citation{zhang}
\citation{gross-zagier}
\citation{perrin-riou}
\citation{nekovar}
\@writefile{toc}{\contentsline {section}{\tocsection {}{}{Introduction}}{2}}
\newlabel{sec:intro}{{}{2}}
\newlabel{eqn:etale-aj}{{0.0.1}{2}}
\citation{xue}
\citation{mar-white}
\citation{hida-Lvalues}
\newlabel{eqn:p-adic-aj-intro}{{0.0.2}{3}}
\newlabel{eqn:cyclic-ideal}{{0.0.3}{3}}
\newlabel{eqn:central-critical}{{0.0.4}{3}}
\newlabel{eqn:intro-lalg}{{0.0.5}{3}}
\citation{bdp2}
\citation{rubin}
\citation{bdp3}
\citation{bdp3}
\citation{bdp5}
\citation{bloch-crelle}
\citation{bloch-duke}
\citation{castella-paper}
\citation{castella-thesis}
\citation{katz}
\citation{hida}
\@writefile{toc}{\contentsline {section}{\tocsection {}{1}{Preliminaries}}{6}}
\newlabel{sec:preliminaries}{{1}{6}}
\newlabel{sec:modforms}{{1.1}{6}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{1.1}{Algebraic modular forms}}{6}}
\newlabel{def:katz-test-object}{{1.1}{6}}
\newlabel{def:algebraic-modular-form}{{1.2}{6}}
\citation{diamond-shurman}
\newlabel{def:def-cusp-forms}{{1.3}{7}}
\newlabel{eqn:section}{{1.1.1}{7}}
\newlabel{eqn:hodge-filtration-L1}{{1.1.2}{7}}
\newlabel{eqn:gauss-manin-open}{{1.1.3}{7}}
\newlabel{eqn:kodaira-spencer}{{1.1.4}{7}}
\newlabel{eqn:section-bis}{{1.1.5}{7}}
\citation{scholl-deRham}
\newlabel{eqn:def-xi-can}{{1.1.6}{8}}
\newlabel{eqn:gauss-manin1}{{1.1.7}{8}}
\newlabel{eqn:nabla-tate}{{1.1.8}{8}}
\newlabel{eqn:kodaira-spencer-complete}{{1.1.9}{8}}
\newlabel{eqn:ks-tate}{{1.1.10}{8}}
\newlabel{eqn:modular-form-sect}{{1.1.11}{8}}
\newlabel{eqn:cusp-form-sect}{{1.1.12}{8}}
\newlabel{eqn:pairingLL}{{1.1.13}{8}}
\newlabel{eqn:pairingLL-bis}{{1.1.14}{8}}
\citation{katz}
\citation{deligne-diff}
\newlabel{eqn:splitting-hodge-fil}{{1.1.16}{9}}
\newlabel{eqn:differential-operator}{{1.1.17}{9}}
\newlabel{sec:mod-forms-C}{{1.2}{9}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{1.2}{Modular forms over $\@mathbf {C}$}}{9}}
\newlabel{eqn:local-system}{{1.2.1}{9}}
\newlabel{eqn:hol-mod-form}{{1.2.2}{9}}
\newlabel{eqn:transformation-gamma}{{1.2.3}{9}}
\newlabel{eqn:hodge-decomposition-tau}{{1.2.4}{9}}
\citation{katz-padic}
\citation{hida-book}
\newlabel{eqn:nabla-complex}{{1.2.5}{10}}
\newlabel{eqn:complex_omega_f}{{1.2.6}{10}}
\newlabel{eqn:hodge-decomposition-sheaves}{{1.2.7}{10}}
\newlabel{eqn:ra-splitting}{{1.2.8}{10}}
\newlabel{eqn:shimura-maass}{{1.2.9}{10}}
\newlabel{lemma:shimura_maass}{{1.5}{10}}
\newlabel{eqn:deltak}{{1.2.10}{10}}
\citation{coleman-rlc}
\citation{katz-padic}
\newlabel{sec:p-adic-mf}{{1.3}{11}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{1.3}{$p$-adic modular forms}}{11}}
\newlabel{def:padic-modular-form}{{1.6}{11}}
\citation{katz}
\newlabel{eqn:unit-root-decomposition}{{1.3.1}{12}}
\newlabel{eqn:atkin-serre}{{1.3.2}{12}}
\newlabel{lemma:serre_tate}{{1.7}{12}}
\newlabel{eqn:theta-formula}{{1.3.3}{12}}
\newlabel{eqn:nablat-padic}{{1.3.4}{12}}
\newlabel{sec:cm-curves}{{1.4}{12}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{1.4}{Elliptic curves with complex multiplication}}{12}}
\@writefile{toc}{\contentsline {subsubsection}{\tocsubsubsection {}{}{Cohomology}}{12}}
\newlabel{eqn:hodge-splitting-cm}{{1.4.1}{12}}
\newlabel{eqn:basis-for-A}{{1.4.2}{13}}
\newlabel{eqn:defXir}{{1.4.3}{13}}
\newlabel{eqn:epsilonA}{{1.4.4}{13}}
\newlabel{eqn:kunnethA}{{1.4.5}{13}}
\newlabel{lemma:epsilonA}{{1.8}{13}}
\newlabel{eqn:omegaj-etar-j}{{1.4.6}{13}}
\@writefile{toc}{\contentsline {subsubsection}{\tocsubsubsection {}{}{Isogenies}}{13}}
\newlabel{ass:heegner}{{1.9}{13}}
\citation{shim-arith}
\citation{katz-padic}
\citation{hida}
\newlabel{eqn:isogeny}{{1.4.7}{14}}
\newlabel{def:isog-marked-ec}{{1.10}{14}}
\newlabel{eqn:action-on-triples}{{1.4.8}{14}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{1.5}{Values of modular forms at CM points}}{14}}
\newlabel{prop:shimura}{{1.12}{14}}
\citation{deligne}
\citation{scholl}
\citation{scholl}
\@writefile{toc}{\contentsline {section}{\tocsection {}{2}{Generalised Heegner cycles}}{15}}
\newlabel{sec:cycles}{{2}{15}}
\newlabel{sec:kuga-sato}{{2.1}{15}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{2.1}{Kuga-Sato varieties}}{15}}
\newlabel{eqn:scholl-1.3.2}{{2.1.1}{15}}
\newlabel{eqn:epsilonW}{{2.1.2}{15}}
\citation{scholl-deRham}
\citation{scholl-deRham}
\citation{scholl}
\citation{scholl-van}
\citation{deligne-diff}
\citation{katz-turritin}
\newlabel{eqn:subcomplex}{{2.1.3}{16}}
\newlabel{eqn:Lrnabla}{{2.1.4}{16}}
\newlabel{eqn:hodge-filtration-para}{{2.1.5}{16}}
\newlabel{lemma:no-horizontal-sections}{{2.1}{16}}
\newlabel{lemma:epsilonW}{{2.2}{16}}
\citation{deligne}
\citation{scholl}
\citation{scholl-van}
\citation{scholl}
\citation{scholl-van}
\citation{scholl-deRham}
\newlabel{cor:cusp-form-coho}{{2.3}{17}}
\newlabel{sec:Xr}{{2.2}{18}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{2.2}{The variety $X_r$ and its cohomology}}{18}}
\newlabel{eqn:epsilon}{{2.2.1}{18}}
\newlabel{eqn:defLrr}{{2.2.2}{18}}
\newlabel{eqn:pairingLLrr}{{2.2.3}{18}}
\newlabel{eqn:defLLrr}{{2.2.4}{18}}
\newlabel{prop:epsilon}{{2.4}{18}}
\newlabel{eqn:filrplus1}{{2.2.5}{18}}
\newlabel{prop:cuspforms}{{2.5}{18}}
\citation{schoen}
\citation{nekovar}
\citation{zhang}
\newlabel{sec:definition}{{2.3}{19}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{2.3}{Definition of the cycles}}{19}}
\newlabel{prop:homtriv}{{2.7}{19}}
\newlabel{sec:correspondence}{{2.4}{19}}
\newlabel{sec:motiv}{{2.4}{19}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{2.4}{Relation with Heegner cycles and $L$-series}}{19}}
\citation{nekovar}
\citation{zhang}
\citation{zhang}
\citation{nekovar}
\citation{iovita-spiess}
\citation{iovita-spiess}
\citation{milne}
\@writefile{toc}{\contentsline {section}{\tocsection {}{3}{$p$-adic Abel-Jacobi maps}}{20}}
\newlabel{sec:padic}{{3}{20}}
\newlabel{sec:etale-aj}{{3.1}{20}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.1}{The \'etale Abel-Jacobi map}}{20}}
\newlabel{eqn:etale-gysin-X}{{3.1.1}{20}}
\newlabel{eqn:etale-gysin-X-proj}{{3.1.2}{20}}
\citation{nekovar}
\citation{berger}
\citation{fontaine}
\citation{illusie}
\citation{fontaine-illusie}
\newlabel{eqn:etale-ext-X}{{3.1.3}{21}}
\newlabel{def:etaleaj}{{3.1}{21}}
\newlabel{rmk:etaleaj}{{3.2}{21}}
\newlabel{sec:comparison}{{3.2}{21}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.2}{The comparison isomorphism}}{21}}
\citation{faltings}
\citation{tsuji}
\citation{nekovar-pairings}
\citation{iovita-spiess}
\citation{nekovar-banff}
\citation{niziol}
\newlabel{thm:comparison}{{3.3}{22}}
\newlabel{cor:comparison}{{3.4}{22}}
\newlabel{eqn:comp-iso}{{3.2.1}{22}}
\newlabel{sec:ffm}{{3.3}{22}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.3}{Extensions of filtered Frobenius modules}}{22}}
\newlabel{eqn:ffm}{{3.3.1}{22}}
\newlabel{eqn:etaholintp}{{3.3.2}{22}}
\newlabel{prop:ext-ffm}{{3.5}{22}}
\newlabel{eqn:splitting}{{3.3.3}{22}}
\citation{coleman-tpc}
\citation{coleman-rlc}
\newlabel{sec:padic-aj}{{3.4}{23}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.4}{The $p$-adic Abel-Jacobi map}}{23}}
\newlabel{eqn:ffm-isom}{{3.4.1}{23}}
\newlabel{eqn:p-adic-aj}{{3.4.2}{23}}
\newlabel{eqn:deRham-ext-X}{{3.4.3}{23}}
\newlabel{eqn:ext-padic}{{3.4.4}{23}}
\citation{coleman-rlc}
\citation{coleman-rlc}
\citation{coleman-monodromy}
\newlabel{sec:rigid_analysis}{{3.5}{24}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.5}{de Rham cohomology over $p$-adic fields}}{24}}
\newlabel{thm:alg-rig-cohomology}{{3.6}{24}}
\citation{coleman-rlc}
\citation{katz-dwork}
\citation{coleman-rlc}
\newlabel{cor:res-wide-open}{{3.7}{25}}
\newlabel{eqn:residue-alg-an}{{3.5.1}{25}}
\newlabel{thm:residue-thm-rigid}{{3.8}{25}}
\newlabel{prop:is-regular}{{3.9}{25}}
\citation{coleman-monodromy}
\citation{coleman-tpc}
\newlabel{prop:pd-rigid}{{3.10}{26}}
\newlabel{def:lifting-of-frobenius}{{3.11}{26}}
\citation{coleman-monodromy}
\citation{coleman-iovita}
\citation{coleman-monodromy}
\citation{coleman-monodromy}
\citation{coleman-monodromy}
\citation{coleman-monodromy}
\newlabel{sec:coleman-primitive}{{3.6}{27}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.6}{The Coleman primitive}}{27}}
\newlabel{lemma:coleman-poly}{{3.14}{27}}
\newlabel{thm:coleman-prim}{{3.15}{27}}
\citation{coleman-monodromy}
\newlabel{sec:padicint}{{3.7}{28}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.7}{$p$-adic integration and the $p$-adic Abel-Jacobi map }}{28}}
\newlabel{prop:intprimformp}{{3.18}{28}}
\newlabel{eqn:cond_holp}{{3.7.1}{28}}
\newlabel{eqn:cond_holp_cusp}{{3.7.2}{28}}
\newlabel{eqn:etadeltafrob}{{3.7.3}{28}}
\newlabel{eqn:cond_res_eta}{{3.7.4}{28}}
\newlabel{eqn:twotermsp}{{3.7.5}{29}}
\newlabel{eqn:twotermsp-bis}{{3.7.6}{29}}
\newlabel{lemma:hol-termp}{{3.19}{29}}
\newlabel{lemma:frob-term}{{3.20}{29}}
\newlabel{eqn:key-frob}{{3.7.7}{29}}
\newlabel{eqn:frob-action}{{3.7.8}{29}}
\citation{deligne-rapoport}
\newlabel{prop:moreexplicitp}{{3.21}{30}}
\newlabel{eqn:functorial1}{{3.7.9}{30}}
\newlabel{eqn:functorial2}{{3.7.10}{30}}
\citation{serre}
\newlabel{lemma:GjAJ}{{3.22}{31}}
\newlabel{sec:colprim}{{3.8}{31}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.8}{Calculation of the Coleman primitive}}{31}}
\newlabel{eqn:UVq}{{3.8.1}{31}}
\newlabel{eqn:VUUV-cor}{{3.8.2}{31}}
\citation{serre}
\newlabel{eqn:UVopq}{{3.8.3}{32}}
\newlabel{eqn:q-exp-f-flat}{{3.8.4}{32}}
\newlabel{lemma:fromGflattoG}{{3.23}{32}}
\newlabel{prop:coleman_primitive_formula}{{3.24}{32}}
\newlabel{eqn:coleman-prim}{{3.8.5}{32}}
\citation{coleman-monodromy}
\newlabel{eqn:recursive}{{3.8.6}{33}}
\@writefile{toc}{\contentsline {section}{\tocsection {}{4}{Period integrals and central values of Rankin-Selberg $L$-functions}}{33}}
\newlabel{sec:kartik}{{4}{33}}
\newlabel{sec:waldspurger-prelim}{{4.1}{33}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{4.1}{Rankin $L$-series and their special values}}{33}}
\citation{jacquet}
\citation{jacquet}
\newlabel{eqn:transf0}{{4.1.1}{34}}
\newlabel{eqn:transf1}{{4.1.2}{34}}
\newlabel{eqn:transf2}{{4.1.3}{34}}
\newlabel{eqn:defwf}{{4.1.4}{34}}
\newlabel{eqn:chionideals}{{4.1.5}{34}}
\citation{jacquet}
\citation{shimura}
\citation{bdp3}
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Critical and central critical weights for $\chi \DOTSB \mapstochar \rightarrow L(f,\chi ^{-1},0)$}}{36}}
\newlabel{pic:pic1}{{1}{36}}
\newlabel{eqn:charsofQas charactersof Uc}{{4.1.6}{36}}
\newlabel{defn:cne}{{4.4}{37}}
\newlabel{eqn:chidefn}{{4.1.7}{37}}
\newlabel{eqn:transchi}{{4.1.8}{37}}
\newlabel{lem:lalg}{{4.5}{37}}
\newlabel{eqn:expressiona}{{4.1.9}{37}}
\citation{bump}
\newlabel{thm:lalg}{{4.6}{38}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{4.2}{Differential operators}}{38}}
\newlabel{eqn:raiseop1}{{4.2.1}{38}}
\newlabel{eqn:ckisom}{{4.2.2}{38}}
\newlabel{eqn:rk}{{4.2.3}{38}}
\newlabel{eqn:lk}{{4.2.4}{38}}
\newlabel{eqn:laplacian}{{4.2.5}{38}}
\newlabel{eqn:lap-relations}{{4.2.6}{38}}
\citation{bump}
\newlabel{lem:rjeig}{{4.9}{39}}
\newlabel{lem:raisePet}{{4.11}{39}}
\newlabel{eqn:raisingPet1}{{4.2.7}{39}}
\newlabel{eqn:raisingPet2}{{4.2.8}{39}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{4.3}{Period integrals and values at CM points}}{39}}
\newlabel{eqn:lambda-tau-N}{{4.3.1}{40}}
\newlabel{eqn:bxiexplicit}{{4.3.2}{40}}
\newlabel{lem:res-of-omega}{{4.12}{40}}
\newlabel{prop:sum=period}{{4.13}{41}}
\newlabel{eqn:yi}{{4.3.3}{41}}
\newlabel{eqn:eta}{{4.3.4}{41}}
\newlabel{eqn:gi}{{4.3.5}{41}}
\citation{jl}
\citation{prasanna}
\citation{hk-duke}
\citation{prasanna}
\newlabel{eqn:Letadefn}{{4.3.6}{42}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{4.4}{Explicit theta lifts}}{42}}
\citation{shimizu}
\citation{watson}
\citation{xue}
\newlabel{eqn:defn-of-phi1}{{4.4.1}{43}}
\newlabel{eqn:defn-of-phi2}{{4.4.2}{43}}
\newlabel{eqn:defn-of-phi-infty}{{4.4.3}{43}}
\newlabel{lem:compactatinfinity}{{4.15}{43}}
\newlabel{lem:compactatfiniteplaces}{{4.16}{44}}
\newlabel{eqn:rpsia}{{4.4.4}{44}}
\newlabel{eqn:rpsiy}{{4.4.5}{44}}
\newlabel{eqn:rpsiW}{{4.4.6}{44}}
\citation{tunnell}
\newlabel{lem:phi2integral}{{4.17}{45}}
\newlabel{eqn:PhiSigma}{{4.4.7}{45}}
\citation{schmidt}
\citation{schmidt}
\newlabel{eqn:Phibeta}{{4.4.8}{46}}
\citation{watson}
\newlabel{proposition:coeffofthetalifttranspose}{{4.19}{47}}
\newlabel{eqn:C1defn}{{4.4.9}{47}}
\newlabel{eqn:thetalift1}{{4.4.10}{47}}
\citation{xue}
\newlabel{prop:coeffofthetalift}{{4.20}{48}}
\newlabel{eqn:C2}{{4.4.11}{48}}
\citation{hk-triple}
\citation{prasanna}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{4.5}{Seesaw duality and the Siegel-Weil formula}}{49}}
\newlabel{eqn:seesawintegral}{{4.5.1}{49}}
\citation{schmidt}
\citation{prasanna}
\newlabel{prop:whitchi}{{4.24}{50}}
\newlabel{eqn:wt}{{4.5.2}{50}}
\newlabel{eqn:phis}{{4.24}{50}}
\newlabel{integral}{{4.5.3}{50}}
\newlabel{eqn:I-phi-xi}{{4.5.4}{50}}
\newlabel{prop:seesawperiod}{{4.25}{51}}
\newlabel{cor:I-phi'}{{4.26}{51}}
\newlabel{subsec:loczeta}{{4.6}{51}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{4.6}{Local zeta integrals}}{51}}
\newlabel{prop:localfactorinfty}{{4.27}{52}}
\@writefile{toc}{\contentsline {subsubsection}{\tocsubsubsection {}{4.6.1}{Case I: $q \nmid cN d_K $.}}{52}}
\@writefile{toc}{\contentsline {subsubsection}{\tocsubsubsection {}{4.6.2}{Case II: $q\mid c$. }}{52}}
\@writefile{toc}{\contentsline {subsubsection}{\tocsubsubsection {}{4.6.3}{Case III: $q^n || N$ with $n\ge 2$.}}{53}}
\@writefile{toc}{\contentsline {subsubsection}{\tocsubsubsection {}{4.6.4}{ Case IV: $q || N$, $q\nmid d_K$.}}{54}}
\citation{tunnell-eps}
\@writefile{toc}{\contentsline {subsubsection}{\tocsubsubsection {}{4.6.5}{Case V: $q || N$, and $q\mid d_K$.}}{55}}
\@writefile{toc}{\contentsline {subsubsection}{\tocsubsubsection {}{4.6.6}{Case VI: $q\mid d_K$, $q\nmid N$. }}{56}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{4.7}{The explicit form of Waldspurger's formula}}{56}}
\newlabel{thm:explicitwaldspurger}{{4.28}{56}}
\@writefile{toc}{\contentsline {section}{\tocsection {}{5}{Anticyclotomic $p$-adic $L$-functions}}{56}}
\newlabel{sec:acpl}{{5}{56}}
\newlabel{sec:periods}{{5.1}{56}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{5.1}{Periods and algebraicity}}{56}}
\citation{bdp2}
\citation{bdp3}
\newlabel{eqn:pin-down-omega0}{{5.1.1}{57}}
\newlabel{eqn:transformation-chij}{{5.1.2}{57}}
\newlabel{thm:lalg2}{{5.1}{57}}
\newlabel{eqn:lalgbis}{{5.1.3}{57}}
\newlabel{eqn:Jfchi}{{5.1.4}{57}}
\newlabel{eqn:commutationgalwn}{{5.1.5}{57}}
\newlabel{eqn:choicebb}{{5.1.6}{58}}
\newlabel{eqn:tprimeprime}{{5.1.7}{58}}
\newlabel{eqn:choose-zeta}{{5.1.8}{58}}
\newlabel{eqn:conjan}{{5.1.9}{58}}
\newlabel{lemma:atkin-lehner}{{5.2}{58}}
\newlabel{eqn:commtlwn}{{5.1.10}{58}}
\newlabel{eqn:defepsilon}{{5.1.11}{58}}
\newlabel{lemma:epsilonfchi}{{5.3}{58}}
\newlabel{thm:lalg3}{{5.4}{59}}
\newlabel{eqn:lalg3}{{5.1.12}{59}}
\newlabel{eqn:firstpart}{{5.1.13}{59}}
\newlabel{eqn:secondpart}{{5.1.14}{59}}
\newlabel{eqn:complex-period}{{5.1.15}{59}}
\newlabel{thm:lalg4}{{5.5}{60}}
\newlabel{eqn:key-alg}{{5.1.16}{60}}
\newlabel{sec:interpolation}{{5.2}{60}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{5.2}{$p$-adic interpolation}}{60}}
\newlabel{thm:lalgp}{{5.7}{60}}
\newlabel{eqn:key-alg-p}{{5.2.1}{60}}
\newlabel{eqn:defpperiod}{{5.2.2}{61}}
\newlabel{thm:Lp}{{5.9}{61}}
\citation{gouvea}
\citation{hida-padicL}
\citation{hida-padicL}
\citation{perrin-riou}
\citation{nekovar}
\newlabel{prop:interpolation}{{5.10}{62}}
\newlabel{sec:main}{{5.3}{62}}
\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{5.3}{The main theorem}}{62}}
\newlabel{thm:main}{{5.13}{63}}
\newlabel{eqn:prelim-form-Lp}{{5.3.1}{63}}
\newlabel{eqn:euler-factor-ugly}{{5.3.2}{63}}
\citation{deligne}
\citation{scholl}
\citation{deligne-rapoport}
\citation{scholl}
\citation{scholl}
\citation{deligne-rapoport}
\citation{knutson}
\@writefile{toc}{\contentsline {section}{\tocsection {Appendix}{A}{Kuga-Sato schemes\\ by Brian Conrad}}{64}}
\newlabel{append}{{A}{64}}
\citation{ega}
\citation{conrad}
\citation{deligne-rapoport}
\citation{deligne-rapoport}
\citation{fk}
\newlabel{ebareg}{{A.2}{65}}
\newlabel{resolution}{{A.3}{65}}
\citation{deligne-rapoport}
\newlabel{E4.3.1}{{A.0.3}{66}}
\bibcite{berger}{B}
\bibcite{bloch-crelle}{Bl-1}
\bibcite{bloch-duke}{Bl-2}
\bibcite{bdp2}{BDP-cm}
\bibcite{bdp3}{BDP-ch}
\bibcite{bdp5}{BDP-co}
\bibcite{bump}{Bump}
\bibcite{castella-paper}{Cas1}
\bibcite{castella-thesis}{Cas2}
\bibcite{coleman-tpc}{Col1}
\bibcite{coleman-rlc}{Col2}
\bibcite{coleman-monodromy}{Col3}
\bibcite{coleman-iovita}{CI}
\bibcite{conrad}{Con}
\bibcite{deligne-diff}{De1}
\bibcite{deligne}{De2}
\bibcite{deligne-rapoport}{DR}
\bibcite{diamond-shurman}{DS}
\bibcite{faltings}{Fa}
\bibcite{fontaine-illusie}{FI}
\bibcite{fontaine}{Fo}
\bibcite{fk}{FK}
\bibcite{gouvea}{Gou}
\bibcite{gross-zagier}{GZ}
\bibcite{ega}{EGA}
\bibcite{hk-duke}{HK1}
\bibcite{hk-triple}{HK2}
\bibcite{hida-padicL}{Hi1}
\bibcite{hida-book}{Hi2}
\bibcite{hida-Lvalues}{Hi3}
\bibcite{hida}{Hi4}
\bibcite{illusie}{I}
\@writefile{toc}{\contentsline {section}{\tocsection {Appendix}{}{References}}{67}}
\bibcite{iovita-spiess}{IS}
\bibcite{jacquet}{Jac}
\bibcite{jl}{JL}
\bibcite{katz-turritin}{Ka1}
\bibcite{katz}{Ka2}
\bibcite{katz-dwork}{Ka3}
\bibcite{katz-padic}{Ka4}
\bibcite{knutson}{K}
\bibcite{milne}{Mi}
\bibcite{mar-white}{MW}
\bibcite{nekovar-pairings}{Ne1}
\bibcite{nekovar}{Ne2}
\bibcite{nekovar-banff}{Ne3}
\bibcite{niziol}{Ni}
\bibcite{perrin-riou}{PR1}
\bibcite{perrin-riou-aif}{PR2}
\bibcite{perrin-riou-smf}{PR3}
\bibcite{prasanna}{P}
\bibcite{rubin}{Ru}
\bibcite{schmidt}{SR}
\bibcite{schoen}{Sch}
\bibcite{scholl-deRham}{Schol1}
\bibcite{scholl}{Schol2}
\bibcite{scholl-van}{Schol3}
\bibcite{serre}{Se}
\bibcite{shimizu}{SH}
\bibcite{shim-arith}{Shim1}
\bibcite{shimura}{Shim2}
\bibcite{tsuji}{T}
\bibcite{tunnell}{Tu1}
\bibcite{tunnell-eps}{Tu2}
\bibcite{watson}{Wa}
\bibcite{xue}{Xue}
\bibcite{zhang}{Zh}
\newlabel{tocindent-1}{0pt}
\newlabel{tocindent0}{58.61125pt}
\newlabel{tocindent1}{66.11127pt}
\newlabel{tocindent2}{29.38873pt}
\newlabel{tocindent3}{0pt}