Heegner points, Stark-Heegner points, and diagonal classes / Massimo Bertolini, Henri Darmon, Victor Rotger, Marco Adamo Seveso, & Rodolfo Venerucci.

Format:

Book

Author/Creator:

Bertolini, Massimo, author.

Darmon, Henri, 1965- author.

Rotger, Victor, author.

Seveso, Marco Adamo, author.

Venerucci, Rodolfo, author.

Series:

Astérisque ; 0303-1179 434.

Astérisque, 0303-1179 ; no. 434

Language:

English

Subjects (All):

L-functions.

Forms, Modular.

Curves, Elliptic.

Physical Description:

xviii, 201 pages : illustrations ; 24 cm.

Place of Publication:

Paris : Société mathématique de France, 2022.

Summary:

"This volume comprises four interrelated articles whose unifying theme is the study of Heegner and Stark-Heegner points, and their connections with the padic logarithm of certain global cohomology classes attached to a pair of weight one theta series of a common (imaginary or real) quadratic field. These global classes are obtained from p-adic deformations of diagonal classes attached to triples of modular forms of weight > 1, and naturally generalise a construction of Kato which one recovers when the two theta series are replaced by Eisenstein series of weight one. Understanding the extent to which such classes obtained via the p-adic interpolation of motivic cohomology classes are themselves motivic is a key motivation for this study. A second is the desire to show that Stark-Heegner points, whose global nature is still poorly understood theoretically, arise from classes in global Galois cohomology." -- English abstract from page [iii]

Notes:

Abstract in English and French.

Includes bibliographical references.

Current Copyright Fee: GBP22.50 0.

ISBN:

9782856299593

2856299598

OCLC:

1338038046