
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.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.
Graduate students and research mathematicians interested in Heegner points, Stark-Heegner points, and diagonal classes.