Heegner Points and Rankin L-Series

ISBN: 9780521158206 出版年：2004 页码：381 Henri Darmon Shou-wu Zhang Cambridge University Press

1. Preface Henri Darmon and Shour-Wu Zhang 2. Heegner points: the beginnings Bryan Birch 3. Correspondence Bryan Birch and Benedict Gross 4. The Gauss class number problem for imaginary quadratic fields Dorian Goldfeld 5. Heegner points and representation theory Brian Conrad (with an appendix by W. R. Mann) 6. Special value formulae for Rankin L-functions Vinayak Vatsal 7. Gross-Zagier formula for GL(2), II Shou-Wu Zhang 8. Special cycles and derivatives in Eisenstein series Stephen Kudla 9. Faltings' height and the Derivatives of Eisenstein series Tonghai Yang 10. Elliptic curves and analogies between number fields and function fields Doug Ulmer 11. Heegner points and elliptic curves of large rank over function fields Henri Darmon 12. Periods and points attached to quadratic algebras Massimo Bertolini and Peter Green.