Heegner Points and Rankin L-Series
Edited by Henri Darmon and Shou-Wu Zhang
Contents
NOTE: Many of the papers are preceded by a blank page. If the first page you see is blank, do not despair! Move to the second.
Front matter (front page, copyright page)
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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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