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Iwasawa theory of twists of elliptic modular forms over imaginary quadratic fields at inert primes = La théorie d'Iwasa des twists des formes modulaires elliptiques sur les corps quadratiques imaginaires aux nombres premiers inertes / Kâzim Büyükboduk, Antonio Lei

By: Contributor(s): Resource type: Ressourcentyp: BuchBookLanguage: English Summary language: French Series: Société Mathématique de France. Mémoires de la Société Mathématique de France ; nouvelle série, numéro 185Publisher: Paris : Société mathématique de France, 2025Description: vi,119 SeitenISBN:
  • 9782379052088
  • 2379052085
Other title:
  • La théorie d'Iwasa des twists des formes modulaires elliptiques sur les corps quadratiques imaginaires aux nombres premiers inertes
Subject(s): Additional physical formats: Erscheint auch als: Iwasawa theory of twists of elliptic modular forms over imaginary quadratic fields at inert primes. Online-Ausgabe Paris : Société mathématique de France, 2025. 1 Online-Ressource (vi,119 Seiten)MSC: MSC: 11R23 | 11F11 | 11R18Summary: Abstract: Our primary goal in this manuscript is to study the Iwasawa theory for semi-ordinary families of automorphic forms on GL2×ResK/QGL1, where K is an imaginary quadratic field where the prime p is inert. We 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 μ-invariants of Selmer groups and p-adic L-functions as the modular forms vary in families, which is crucial for our patching argument to establish one divisibility in an Iwasawa main conjecture in three variables.Summary: Keywords: Isawa theory, Rankin-Selberg products, semi-ordinary primes, locally resticted Euler systems, Beilinson-Flach elementsPPN: PPN: 1927966833
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Item type Home library Shelving location Call number Status Barcode
Freihandbestand ausleihbar Fachbibliothek Mathematik Bibliothek / frei aufgestellt Z 61a-185.2025 Available 36555682090
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