| Softcover ISBN: | 978-2-37905-208-8 |
| Product Code: | SMFMEM/185 |
| List Price: | $69.00 |
| AMS Member Price: | $55.20 |
| Softcover ISBN: | 978-2-37905-208-8 |
| Product Code: | SMFMEM/185 |
| List Price: | $69.00 |
| AMS Member Price: | $55.20 |
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Book DetailsMémoires de la Société Mathématique de FranceVolume: 185; 2025; 119 ppMSC: Primary 11
In this book, the authors' primary goal is to study the Iwasawa theory for semi-ordinary families of automorphic forms on \(\mathrm{GL}_2\times\mathrm{Res}_{K/\mathbb{Q}}\mathrm{GL}_1\), where \(K\) is an imaginary quadratic field where the prime \(p\) is inert. The authors prove divisibility results towards Iwasawa main conjectures in this context, utilizing the optimized signed factorization procedure for Perrin-Riou functionals and Beilinson-Flach elements for a family of Rankin-Selberg products of \(p\)-ordinary forms with a fixed \(p\)-non-ordinary modular form. The optimality enables an effective control on the \(\mu\)-invariants of Selmer groups and \(p\)-adic \(L\)-functions as the modular forms vary in families, which is crucial for the authors' patching argument to establish one divisibility in an Iwasawa main conjecture in three variables.
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.
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In this book, the authors' primary goal is to study the Iwasawa theory for semi-ordinary families of automorphic forms on \(\mathrm{GL}_2\times\mathrm{Res}_{K/\mathbb{Q}}\mathrm{GL}_1\), where \(K\) is an imaginary quadratic field where the prime \(p\) is inert. The authors prove divisibility results towards Iwasawa main conjectures in this context, utilizing the optimized signed factorization procedure for Perrin-Riou functionals and Beilinson-Flach elements for a family of Rankin-Selberg products of \(p\)-ordinary forms with a fixed \(p\)-non-ordinary modular form. The optimality enables an effective control on the \(\mu\)-invariants of Selmer groups and \(p\)-adic \(L\)-functions as the modular forms vary in families, which is crucial for the authors' patching argument to establish one divisibility in an Iwasawa main conjecture in three variables.
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.
