| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910806101603321 |
|
|
Titolo |
Heegner points and Rankin L-series / / edited by Henri Darmon, Shou-Wu Zhang |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Cambridge, UK ; ; New York, NY, USA, : Cambridge University Press, c2004 |
|
|
|
|
|
|
|
|
|
ISBN |
|
1-139-88318-6 |
1-280-54066-4 |
9786610540662 |
0-511-21547-9 |
0-511-21726-9 |
0-511-21189-9 |
0-511-31586-4 |
0-511-75637-2 |
0-511-21366-2 |
|
|
|
|
|
|
|
|
Edizione |
[1st ed.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (xiii, 367 pages) : digital, PDF file(s) |
|
|
|
|
|
|
Collana |
|
Mathematical Sciences Research Institute publications ; ; 49 |
|
|
|
|
|
|
Altri autori (Persone) |
|
DarmonHenri <1965-> |
ZhangShouwu |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Curves, Elliptic |
L-functions |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references and index. |
|
|
|
|
|
|
Nota di contenuto |
|
Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; Heegner Points: The Beginnings; Correspondence; The Gauss Class Number Problem for Imaginary Quadratic Fields; Heegner Points and Representation Theory; Gross-Zagier Revisited; Special Value Formulae for Rankin L-Functions; Gross-Zagier Formula for GL(2), II; Special Cycles and Derivatives of Eisenstein Series; Faltings Heights and the Derivative of Zagier's Eisenstein Series; Elliptic Curves and Analogies Between Number Fields and Function Fields; Heegner Points and Elliptic Curves of Large Rank over Function Fields |
Periods and Points Attached to Quadratic Algebras |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
The seminal formula of Gross and Zagier relating heights of Heegner |
|
|
|
|
|
|
|
|
|
|
points to derivatives of the associated Rankin L-series has led to many generalisations and extensions in a variety of different directions, spawning a fertile area of study that remains active to this day. This volume, based on a workshop on Special Values of Rankin L-series held at the MSRI in December 2001, is a collection of thirteen articles written by many of the leading contributors in the field, having the Gross-Zagier formula and its avatars as a common unifying theme. It serves as a valuable reference for mathematicians wishing to become further acquainted with the theory of complex multiplication, automorphic forms, the Rankin-Selberg method, arithmetic intersection theory, Iwasawa theory, and other topics related to the Gross-Zagier formula. |
|
|
|
|
|
| |