Heegner points and Rankin L-series / / edited by Henri Darmon, Shou-Wu Zhang [[electronic resource]]

• Pubblicazione: Cambridge : , : Cambridge University Press, , 2004
• Descrizione fisica: 1 online resource (xiii, 367 pages) : digital, PDF file(s)
• Disciplina: 516.352
• Soggetto topico: Curves, Elliptic; L-functions
• Persona (resp. second.): DarmonHenri <1965->; ZhangShouwu
• 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.
• Altri titoli varianti: Heegner Points & Rankin L-Series
• Titolo autorizzato: Heegner points and Rankin L-series
• 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
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910784306203321
• Lo trovi qui: Univ. Federico II
• Serie: Mathematical Sciences Research Institute Publications. ; ; 49.