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On refined conjectures of Birch and Swinnerton-Dyer type for Hasse-Weil-Artin L-Series / David Burns, Daniel Macias Castillo

By: Contributor(s): Resource type: Ressourcentyp: BuchBookLanguage: English Series: American Mathematical Society. Memoirs of the American Mathematical Society ; volume 297, number 1482 (May 2024)Publisher: Providence : American Mathematical Society, May 2024Description: v, 156 SeitenISBN:
  • 9781470469665
Subject(s): Additional physical formats: 9781470478308 | Erscheint auch als: On Refined Conjectures of Birch and Swinnerton-Dyer Type for Hasse-Weil-Artin. Online-Ausgabe 1st ed. Providence : American Mathematical Society, 2024. 1 online resource (168 pages) | Erscheint auch als: On refined conjectures of Birch and Swinnerton-Dyer type for Hasse-Weil-Artin L-Series. Online-Ausgabe Providence : American Mathematical Society, 2024. 1 Online-Ressource (v, 156 Seiten)DDC classification:
  • 512.7/4 23/eng20240916
MSC: MSC: 11G40RVK: RVK: SI 130LOC classification:
  • QA248
Summary: "We consider refined conjectures of Birch and Swinnerton-Dyer type for the Hasse-Weil-Artin L-series of abelian varieties over general number fields. We shall, in particular, formulate several new such conjectures and establish their precise relation to previous conjectures, including to the relevant special case of the equivariant Tamagawa number conjecture. We also derive a wide range of concrete interpretations and explicit consequences of these conjectures that, in general, involve a thoroughgoing mixture of difficult Archimedean considerations related to refinements of the conjecture of Deligne and Gross and delicate p-adic congruence relations that involve the bi-extension height pairing of Mazur and Tate and are related to key aspects of noncommutative Iwasawa theory. In important special cases we provide strong evidence, both theoretical and numerical, in support of the conjectures"--PPN: PPN: 1897186045
Holdings
Item type Home library Shelving location Call number Status
Institutsbestand Fachbibliothek Mathematik Bibliothek / frei aufgestellt Z 57 c-297.2024,1482 Nicht ausleihbar
Total holds: 0