Información General

• Autores: Henri Darmon (coord.), Shou-Wu Zhang (coord.)
• Editores: Cambridge University Press
• Año de publicación: 2004
• Colecciones: Mathematical Sciences Research Institute publications, 49
• País: Estados Unidos
• Idioma: inglés
• ISBN: 0-521-83659-X
• Texto completo no disponible (Saber más ...)

Resumen

• The seminal formula of Gross and Zagier relating heights of Heegner points to derivatives of the associated Rankin L-series has led to many generalizations and extensions in a variety of different directions, spawning a fertile area of study that remains active to this day.

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Listado de artículos

• • Heegner Points: the Beginnings

    Bryan Birch

    págs. 1-10

    

  • Correspondence between Bryan Birch and Benedict Gross

    Bryan Birch, Benedict H. Gross

    págs. 11-23

    

  • The Gauss Class Number Problem for Imaginary Quadratic Fields

    Dorian Goldfeld

    págs. 25-36

    

  • Heegner Points and Representation Theory

    Benedict H. Gross

    págs. 37-65

    

  • Gross--Zagier Revisited

    Brian Conrad, W.R. Mann

    págs. 67-163

    

  • Special Value Formulae for Rankin L-Functions

    Vinayak Vatsal

    págs. 165-190

    

  • Gross-Zagier Formula for GL(2), II

    Shou-Wu Zhang

    págs. 191-241

    

  • Special Cycles and Derivatives of Eisenstein Series

    Stephen Kudla

    págs. 243-270

    

  • Faltings' Height and the Derivatives of Eisenstein Series

    Tonghai Yang

    págs. 271-284

    

  • Elliptic Curves and Analogies Between Number Fields and Function Fields

    Douglas Ulmer

    págs. 285-315

    

  • Heegner Points and Elliptic Curves of Large Rank over Function Fields

    Henri Darmon

    págs. 317-322

    

  • Periods and Points Attached to Quadratic Algebras

    Massimo Bertolini, Henri Darmon, Peter Green

    págs. 323-367