Shafarevich-Tate Groups

This monograph explores the finiteness and structure of Shafarevich-Tate groups of abelian varieties over global fields of any characteristic. Readers will better understand how the methods of Euler systems and Kolyvagin systems can be adapted to Heegner points and CM points. Also offered is a compr...

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Bibliografische gegevens
Hoofdauteur: Brown, M.L (Auteur)
Coauteur: SpringerLink (Online service)
Formaat: Elektronisch E-boek
Taal:Engels
Gepubliceerd in: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2025.
Editie:1st ed. 2025.
Reeks:Frontiers in Mathematics,
Onderwerpen:
Online toegang:https://doi.org/10.1007/978-3-031-71893-9
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Samenvatting:This monograph explores the finiteness and structure of Shafarevich-Tate groups of abelian varieties over global fields of any characteristic. Readers will better understand how the methods of Euler systems and Kolyvagin systems can be adapted to Heegner points and CM points. Also offered is a comprehensive overview of the most important classical and recent results on these objects. Shafarevich-Tate Groups will be a valuable resource to those interested in this active area of research.
Fysieke beschrijving:1 online resource (X, 314 p. 15 illus.). 11 illus. in color.
ISBN:9783031718939
ISSN:1660-8054
DOI:10.1007/978-3-031-71893-9