Euler systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton, New Jersey ; Chichester, England
Princeton University Press
2000
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| Series: | Annals of mathematics studies
Number 147 |
| Subjects: | |
| Online Access: | FAW01 FAW02 |
| Item Description: | Print version record |
| Physical Description: | 1 online resource (241 pages) |
| ISBN: | 9781400865208 1400865204 9780691050768 |
Staff View
MARC
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| 490 | 0 | |a Annals of mathematics studies |v Number 147 | |
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| 505 | 8 | |a 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 | |
| 650 | 4 | |a Algebraic number theory | |
| 650 | 4 | |a p-adic numbers | |
| 650 | 7 | |a MATHEMATICS / Algebra / Intermediate |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS / Number Theory |2 bisacsh | |
| 650 | 7 | |a Algebraic number theory |2 fast | |
| 650 | 7 | |a p-adic numbers |2 fast | |
| 650 | 4 | |a Algebraic number theory |a p-adic numbers | |
| 650 | 0 | 7 | |a p-adische L-Funktion |0 (DE-588)4398270-0 |2 gnd |9 rswk-swf |
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Record in the Search Index
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| any_adam_object | |
| author | Rubin, Karl |
| author_facet | Rubin, Karl |
| author_role | aut |
| author_sort | Rubin, Karl |
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| building | Verbundindex |
| bvnumber | BV043782990 |
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| contents | 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 |
| ctrlnum | (ZDB-4-EBA)ocn891400001 (OCoLC)891400001 (DE-599)BVBBV043782990 |
| dewey-full | 512/.74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.74 |
| dewey-search | 512/.74 |
| dewey-sort | 3512 274 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043782990 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:34:59Z |
| institution | BVB |
| isbn | 9781400865208 1400865204 9780691050768 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029194050 |
| oclc_num | 891400001 |
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| owner_facet | DE-1046 DE-1047 |
| physical | 1 online resource (241 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2000 |
| publishDateSearch | 2000 |
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| publisher | Princeton University Press |
| record_format | marc |
| series2 | Annals of mathematics studies |
| spelling | Rubin, Karl Verfasser aut Euler systems by Karl Rubin Princeton, New Jersey ; Chichester, England Princeton University Press 2000 © 2000 1 online resource (241 pages) txt rdacontent c rdamedia cr rdacarrier Annals of mathematics studies Number 147 Print version record 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 Algebraic number theory p-adic numbers p-adische L-Funktion (DE-588)4398270-0 gnd rswk-swf Kreiskörper (DE-588)4165607-6 gnd rswk-swf Galois-Kohomologie (DE-588)4019172-2 gnd rswk-swf Elliptische Kurve (DE-588)4014487-2 gnd rswk-swf p-adische L-Funktion (DE-588)4398270-0 s Galois-Kohomologie (DE-588)4019172-2 s Kreiskörper (DE-588)4165607-6 s Elliptische Kurve (DE-588)4014487-2 s 1\p DE-604 Erscheint auch als Druck-Ausgabe Rubin, Karl Euler systems 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rubin, Karl Euler systems 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 Algebraic number theory p-adic numbers p-adische L-Funktion (DE-588)4398270-0 gnd Kreiskörper (DE-588)4165607-6 gnd Galois-Kohomologie (DE-588)4019172-2 gnd Elliptische Kurve (DE-588)4014487-2 gnd |
| subject_GND | (DE-588)4398270-0 (DE-588)4165607-6 (DE-588)4019172-2 (DE-588)4014487-2 |
| title | Euler systems |
| title_auth | Euler systems |
| title_exact_search | Euler systems |
| title_full | Euler systems by Karl Rubin |
| title_fullStr | Euler systems by Karl Rubin |
| title_full_unstemmed | Euler systems by Karl Rubin |
| title_short | Euler systems |
| title_sort | euler systems |
| topic | Algebraic number theory p-adic numbers MATHEMATICS / Algebra / Intermediate bisacsh MATHEMATICS / Number Theory bisacsh Algebraic number theory fast p-adic numbers fast Algebraic number theory p-adic numbers p-adische L-Funktion (DE-588)4398270-0 gnd Kreiskörper (DE-588)4165607-6 gnd Galois-Kohomologie (DE-588)4019172-2 gnd Elliptische Kurve (DE-588)4014487-2 gnd |
| topic_facet | Algebraic number theory p-adic numbers MATHEMATICS / Algebra / Intermediate MATHEMATICS / Number Theory Algebraic number theory p-adic numbers p-adische L-Funktion Kreiskörper Galois-Kohomologie Elliptische Kurve |
| work_keys_str_mv | AT rubinkarl eulersystems |