| Softcover ISBN: | 978-2-85629-959-3 |
| Product Code: | AST/434 |
| List Price: | $74.00 |
| AMS Member Price: | $59.20 |
| Softcover ISBN: | 978-2-85629-959-3 |
| Product Code: | AST/434 |
| List Price: | $74.00 |
| AMS Member Price: | $59.20 |
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Book DetailsAstérisqueVolume: 434; 2022; 228 ppMSC: Primary 11
This volume comprises four interrelated articles whose unifying theme is the study of Heegner and Stark-Heegner points and their connections with the \(p\)-adic 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 generalize 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.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
ReadershipGraduate students and research mathematicians interested in Heegner points, Stark-Heegner points, and diagonal classes.
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This volume comprises four interrelated articles whose unifying theme is the study of Heegner and Stark-Heegner points and their connections with the \(p\)-adic 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 generalize 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.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and research mathematicians interested in Heegner points, Stark-Heegner points, and diagonal classes.
