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Shafarevich-Tate groups

Brown, M. L.

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Shafarevich-Tate groups

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Shafarevich-Tate groups/ by M.L. Brown.
作者:	Brown, M. L.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	x, 314 p. :ill. (some col.), digital ;24 cm.
內容註:	Preliminaries -- Elliptic curves; Drinfeld modules; Shimura curves, Elliptic spaces -- Complex multiplication, Heegner points, CM points -- Local fields and local conditions -- Global fields and Selmer structures -- Euler systems -- Kolyvagin systems -- Selmer groups and Kolyvagin systems.
Contained By:	Springer Nature eBook
標題:	Shafarevich maps. -
電子資源:	https://doi.org/10.1007/978-3-031-71893-9
ISBN:	9783031718939

Shafarevich-Tate groups
Brown, M. L.

Shafarevich-Tate groups[electronic resource] /by M.L. Brown. - Cham :Springer Nature Switzerland :2025. - x, 314 p. :ill. (some col.), digital ;24 cm. - Frontiers in mathematics,1660-8054. - Frontiers in mathematics..

Preliminaries -- Elliptic curves; Drinfeld modules; Shimura curves, Elliptic spaces -- Complex multiplication, Heegner points, CM points -- Local fields and local conditions -- Global fields and Selmer structures -- Euler systems -- Kolyvagin systems -- Selmer groups and Kolyvagin systems.

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.

ISBN: 9783031718939

Standard No.: 10.1007/978-3-031-71893-9doiSubjects--Topical Terms:

711338
Shafarevich maps.

LC Class. No.: QA360

Dewey Class. No.: 511.326

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520 $a 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.
650 0 $a Shafarevich maps. $3 711338
650 0 $a Abelian groups. $3 641259
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