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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| Formato: | Electrónico eBook |
| Idioma: | inglés |
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Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2025.
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| Edición: | 1st ed. 2025. |
| Series: | Frontiers in Mathematics,
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| Subjects: | |
| Acceso en liña: | https://doi.org/10.1007/978-3-031-71893-9 |
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| 001 | 978-3-031-71893-9 | ||
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| 020 | |a 9783031718939 |9 978-3-031-71893-9 | ||
| 024 | 7 | |a 10.1007/978-3-031-71893-9 |2 doi | |
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| 100 | 1 | |a Brown, M.L. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Shafarevich-Tate Groups |h [electronic resource] / |c by M.L. Brown. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Birkhäuser, |c 2025. | |
| 300 | |a 1 online resource (X, 314 p. 15 illus.). |b 11 illus. in color. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 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. | ||
| 588 | |a Print version record. | ||
| 650 | 0 | |a Number theory. | |
| 650 | 0 | |a Algebraic geometry. | |
| 650 | 1 | 4 | |a Number Theory. |
| 650 | 2 | 4 | |a Algebraic Geometry. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031718922 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031718946 |
| 830 | 0 | |a Frontiers in Mathematics, |x 1660-8054 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-71893-9 |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 912 | |a ZDB-2-251 | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||
| 950 | |a Focus Bundle Mathematics and Statistics (SpringerNature-85421) | ||