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Heegner points, stark-Heegner points, and diagonal classes
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. T...
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| Auteurs principaux : | , , , , |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Heegner points, stark-Heegner points, and diagonal classes / Massimo Bertolini, Henri Darmon, Victor Rotger, [et al.] |
| Publié : |
Paris :
Société mathématique de France
, DL 2022 |
| Description matérielle : | 1 vol. (xviii-201 p.) |
| Collection : | Astérisque ; 434 |
| Sujets : | |
| Documents associés : | Fait partie de l'ensemble:
Astérisque |
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| 200 | 1 | |a Heegner points, stark-Heegner points, and diagonal classes |f Massimo Bertolini, Henri Darmon, Victor Rotger, [et al.] | |
| 214 | 0 | |a Paris |c Société mathématique de France |d DL 2022 | |
| 215 | |a 1 vol. (xviii-201 p.) |d 24 cm | ||
| 302 | |a Résumé en anglais et en français | ||
| 305 | |a N° de : "Astérisque", ISSN 0303-1179, (2022)n°434 | ||
| 314 | |a Autres auteurs : Marco Adamo Seveso, Rodolfo Venerucci | ||
| 320 | |a Références bibliographiques en fin d'articles | ||
| 330 | |a 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 |2 4e de couverture | ||
| 359 | 2 | |p P.1-28 |b Stark-Heegner points and diagonal classes, Henri Darmon & Victor Rotger |p P.29-75 |b p-adic families of diagonal cycles, Henri Darmon & Victor Rotger |p P.77-174 |b Reciprocity laws for balanced diagonal classes, Massimo Bertolini & Marco Adamo Seveso & Rodolfo Venerucci |p P.175-201 |b Balanced diagonal classes and rational points on elliptic curves, Massimo Bertolini & Marco Adamo Seveso & Rodolfo Venerucci | |
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