國立虎尾科技大學 |

Shafarevich-Tate groups

紀錄類型:	書目-語言資料,印刷品 : 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.;
Contained By:	Springer Nature eBook
標題:	Algebraic Geometry. -
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:

670184
Algebraic Geometry.

LC Class. No.: QA360

Dewey Class. No.: 511.326

Shafarevich-Tate groups
LDR:01778nam a2200337 a 4500 001 1161555
003 DE-He213
005 20250314115258.0
006 m d
007 cr nn 008maaau
008 251029s2025 sz s 0 eng d
020 $a 9783031718939 $q (electronic bk.)
020 $a 9783031718922 $q (paper)
024 7 $a 10.1007/978-3-031-71893-9 $2 doi
035 $a 978-3-031-71893-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA360
072 7 $a PBH $2 bicssc
072 7 $a MAT022000 $2 bisacsh
072 7 $a PBH $2 thema
082 0 4 $a 511.326 $2 23
090 $a QA360 $b .B879 2025
100 1 $a Brown, M. L. $q (Martin L.) $3 895429
245 1 0 $a Shafarevich-Tate groups $h [electronic resource] / $c by M.L. Brown.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2025.
300 $a x, 314 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Frontiers in mathematics, $x 1660-8054
505 0 $a 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.
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 2 4 $a Algebraic Geometry. $3 670184
650 1 4 $a Number Theory. $3 672023
650 0 $a Abelian groups. $3 768922
650 0 $a Shafarevich maps. $3 1488490
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a Frontiers in mathematics. $3 888364
856 4 0 $u https://doi.org/10.1007/978-3-031-71893-9
950 $a Mathematics and Statistics (SpringerNature-11649)