Table of Contents
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Preface
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Heegner Points: The Beginnings, by Bryan Birch, 1-10
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Correspondence between
Bryan Birch and Benedict Gross, 11-23
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The Gauss Class Number Problem for Imaginary Quadratic Fields, by Dorian
Goldfeld, 25-36
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Heegner Points and Representation Theory, by Benedict Gross, 37-65
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Gross--Zagier Revisited, by Brian Conrad,
with an appendix by W. R. Mann,
67-163
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Special Value Formulae for Rankin L-Functions,
by Vinayak Vatsal, 165-190
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Gross-Zagier Formula for GL(2), II, by Shou-Wu Zhang, 191-241
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Special Cycles and Derivatives of Eisenstein Series,
by Stephen Kudla, 243-270
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Faltings' Height and the Derivatives of Eisenstein Series,
by Tonghai Yang, 271-284
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Elliptic Curves and Analogies Between Number Fields and Function Fields,
by Douglas Ulmer, 285-315
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Editorial Comment
Heegner Points and Elliptic Curves of Large Rank over Function Fields,
by Henri Darmon, 317-322
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Periods and Points Attached to Quadratic Algebras,
by Massimo Bertolini, Henri Darmon and Peter Green,
Vasy, 323-367
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