Shafarevich-Tate Groups
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Beschreibung
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.
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.
Explores the finiteness and structure of Shafarevich-Tate groups of abelian varieties over global fields Illustrates how the methods of Euler systems and Kolyvagin systems can be adapted to Heegner points and CM points Offers a comprehensive overview of the most important classical and recent results on these objects
Autor*in
M.L. Brown
Themen in »Shafarevich-Tate Groups«
Shafarevich-Tate groups Heegner points CM points Shimura curves Drinfeld modular curves Euler systems Kolyvagin systems Elliptic curves Selmer structures Selmer triples Cassels-Tate pairing Rubin elliptic curves