On Refined Conjectures of Birch and Swinnerton-Dyer Type for Hasse-Weil-Artin $L$-Series

Häftad, Engelska, 2024

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Beskrivning

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Produktinformation

Utgivningsdatum:2024-07-31
Mått:178 x 254 x undefined mm
Format:Häftad
Språk:Engelska
Serie:Memoirs of the American Mathematical Society
Antal sidor:156
Förlag:American Mathematical Society
ISBN:9781470469665

Utforska kategorier

Talteori inom Naturvetenskap och teknik

Mer om författaren

David Burns, King's College London, United Kingdom, and Daniel Macias Castillo, Universidad Autonoma de Madrid, Spain, and Instituto de Ciencias Matematicas, Madrid, Spain.

Innehållsförteckning

1. Introduction2. Selmer complexes3. The refined Birch and Swinnerton-Dyer conjecture4. Periods and Galois-Gauss sums5. Local points on ordinary varieties6. Classical Selmer complexes and refined BSD7. Euler characteristics and Galois structures8. Abelian congruence relations and module structures9. Abelian congruence relations and height pairings10. Height pairing comparisons11. Modular symbols12. Heegner pointsA. Refined BSD and equivariant Tamagawa numbersB. Poitou-Tate dualityC. Bockstein homomorphisms

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