Euler Systems. (AM-147):
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton
Princeton University Press
2014
|
| Series: | Annals of mathematics studies
|
| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor Kolyvagin in the late 1980s in order to bound Selmer groups attached to p-adic representations, Euler systems have since been used to solve several key problems. These include certain cases of the Birch and Swinnerton-Dyer Conjecture and the Main Conjecture of Iwasawa Theory. Because Selmer groups play a central role in Arithmetic Algebraic |
| Physical Description: | 1 Online-Ressource (241 pages) |
| ISBN: | 1400865204 9781400865208 |
Staff View
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Record in the Search Index
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| dewey-full | 512.74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
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| id | DE-604.BV043155769 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:19:11Z |
| institution | BVB |
| isbn | 1400865204 9781400865208 |
| language | English |
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| publishDate | 2014 |
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| publisher | Princeton University Press |
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| series2 | Annals of mathematics studies |
| spelling | Rubin, Karl Verfasser aut Euler Systems. (AM-147) Princeton Princeton University Press 2014 1 Online-Ressource (241 pages) txt rdacontent c rdamedia cr rdacarrier Annals of mathematics studies One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor Kolyvagin in the late 1980s in order to bound Selmer groups attached to p-adic representations, Euler systems have since been used to solve several key problems. These include certain cases of the Birch and Swinnerton-Dyer Conjecture and the Main Conjecture of Iwasawa Theory. Because Selmer groups play a central role in Arithmetic Algebraic Algebraic number theory p-adic numbers MATHEMATICS / Algebra / Intermediate bisacsh MATHEMATICS / Number Theory bisacsh Algebraic number theory fast p-adic numbers fast http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=818441 Aggregator Volltext |
| spellingShingle | Rubin, Karl Euler Systems. (AM-147) Algebraic number theory p-adic numbers MATHEMATICS / Algebra / Intermediate bisacsh MATHEMATICS / Number Theory bisacsh Algebraic number theory fast p-adic numbers fast |
| title | Euler Systems. (AM-147) |
| title_auth | Euler Systems. (AM-147) |
| title_exact_search | Euler Systems. (AM-147) |
| title_full | Euler Systems. (AM-147) |
| title_fullStr | Euler Systems. (AM-147) |
| title_full_unstemmed | Euler Systems. (AM-147) |
| title_short | Euler Systems. (AM-147) |
| title_sort | euler systems am 147 |
| topic | Algebraic number theory p-adic numbers MATHEMATICS / Algebra / Intermediate bisacsh MATHEMATICS / Number Theory bisacsh Algebraic number theory fast p-adic numbers fast |
| topic_facet | Algebraic number theory p-adic numbers MATHEMATICS / Algebra / Intermediate MATHEMATICS / Number Theory |
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