Heegner points, Stark-Heegner points, and diagonal classes
By: Massimo Bertolini, Henri Darmon, Victor Rotger, Marco Adamo Seveso, & Rodolfo Venerucci
Contributors: Darmon, Henri, 1965- author; Rotger, Victor, author; Seveso, Marco Adamo, author; Venerucci, Rodolfo, author
Series: Astérisque -- no. 434; Astérisque -- no. 434.
Publisher: Société mathématique de France
Published: 2022
Place of publication: Paris
Language: eng
Number of pages: 201
ISBN-13: 9782856299593
Copyright date: 2022
Subjects: L-functions; Modular Forms; Elliptic Curves
Description: "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.

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