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Shafarevich-Tate Groups

Brown M.L.
Heftet / 2025 / Engelsk

Produktdetaljer

ISBN
9783031718922
Publisert
2025-04-16
Utgiver
Vendor
Birkhauser Verlag AG
Høyde
240 mm
Bredde
168 mm
Aldersnivå
Research, P, UP, 06, 05
Språk
Product language
Engelsk
Format
Product format
Heftet

Forfatter
Brown M.L.

Shafarevich-Tate Groups

Brown M.L.
Heftet / 2025 / Engelsk
Brown M.L.
Heftet / 2025 / Engelsk
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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.
Les mer
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.
Les mer
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.
Les mer
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.
Les mer
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
Les mer
GPSR Compliance The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this. If you have any concerns about our products you can contact us on ProductSafety@springernature.com. In case Publisher is established outside the EU, the EU authorized representative is: Springer Nature Customer Service Center GmbH Europaplatz 3 69115 Heidelberg, Germany ProductSafety@springernature.com
Les mer

Relaterte produkter

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.
Les mer
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.
Les mer
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.
Les mer
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.
Les mer
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
Les mer
GPSR Compliance The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this. If you have any concerns about our products you can contact us on ProductSafety@springernature.com. In case Publisher is established outside the EU, the EU authorized representative is: Springer Nature Customer Service Center GmbH Europaplatz 3 69115 Heidelberg, Germany ProductSafety@springernature.com
Les mer

Produktdetaljer

ISBN
9783031718922
Publisert
2025-04-16
Utgiver
Vendor
Birkhauser Verlag AG
Høyde
240 mm
Bredde
168 mm
Aldersnivå
Research, P, UP, 06, 05
Språk
Product language
Engelsk
Format
Product format
Heftet

Forfatter
Brown M.L.

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