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9781470469665 Academic Inspection Copy

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

  • ISBN-13: 9781470469665
  • Publisher: AMERICAN MATHEMATICAL SOCIETY
    Imprint: AMERICAN MATHEMATICAL SOCIETY
  • By David Burns, By Daniel Macias Castillo
  • Price: AUD $219.00
  • Stock: 0 in stock
  • Availability: This book is temporarily out of stock, order will be despatched as soon as fresh stock is received.
  • Local release date: 29/10/2024
  • Format: Paperback (254.00mm X 178.00mm) 156 pages Weight: 0g
  • Categories: Number theory [PBH]
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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.
David Burns, King's College London, United Kingdom, and Daniel Macias Castillo, Universidad Autonoma de Madrid, Spain, and Instituto de Ciencias Matematicas, Madrid, Spain.
1. Introduction 2. Selmer complexes 3. The refined Birch and Swinnerton-Dyer conjecture 4. Periods and Galois-Gauss sums 5. Local points on ordinary varieties 6. Classical Selmer complexes and refined BSD 7. Euler characteristics and Galois structures 8. Abelian congruence relations and module structures 9. Abelian congruence relations and height pairings 10. Height pairing comparisons 11. Modular symbols 12. Heegner points A. Refined BSD and equivariant Tamagawa numbers B. Poitou-Tate duality C. Bockstein homomorphisms
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