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Record Nr. |
UNINA9910457715803321 |
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Titolo |
Heegner points and Rankin L-series / / edited by Henri Darmon, Shou-Wu Zhang [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2004 |
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ISBN |
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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 |
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Descrizione fisica |
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1 online resource (xiii, 367 pages) : digital, PDF file(s) |
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Collana |
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Mathematical Sciences Research Institute publications ; ; 49 |
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Disciplina |
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Soggetti |
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Curves, Elliptic |
L-functions |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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 |
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Sommario/riassunto |
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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, |
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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. |
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