LDR | | 00000nam u2200205 4500 |
001 | | 000000432273 |
005 | | 20200224120015 |
008 | | 200131s2019 ||||||||||||||||| ||eng d |
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▼a 9781392227565 |
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▼a (MiAaPQ)AAI13896313 |
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▼a (MiAaPQ)grad.msu:16896 |
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▼a MiAaPQ
▼c MiAaPQ
▼d 247004 |
082 | 0 |
▼a 510 |
100 | 1 |
▼a Ure, Charlotte. |
245 | 10 |
▼a Prime Torsion in the Brauer Group of an Elliptic Curve. |
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▼a [S.l.]:
▼b Michigan State University.,
▼c 2019. |
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▼a Ann Arbor:
▼b ProQuest Dissertations & Theses,
▼c 2019. |
300 | |
▼a 98 p. |
500 | |
▼a Source: Dissertations Abstracts International, Volume: 80-12, Section: B. |
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▼a Publisher info.: Dissertation/Thesis. |
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▼a Advisor: Kulkarni, Rajesh S. |
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▼a Thesis (Ph.D.)--Michigan State University, 2019. |
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▼a This item must not be sold to any third party vendors. |
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▼a The Brauer group is an invariant in algebraic geometry and number theory, that can be associated to a field, variety, or scheme. Let k be a field of characteristic different from 2 or 3, and let E be an elliptic curve over k. The Brauer group of E is a torsion abelian group with elements given by Morita equivalence classes of central simple algebras over the function field k(E). The Merkurjev-Suslin theorem implies that any such element can be described by a tensor product of symbol algebras. We give a description of elements in the d-torsion of the Brauer group of E in terms of these tensor products, provided that the d-torsion of E is k-rational and k contains a primitive d-th root of unity. Furthermore, if d = q is a prime, we give an algorithm to compute the q-torsion of the Brauer group over any field k of characteristic different from 2,3, and q containing a primitive q-th root of unity. |
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▼a School code: 0128. |
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▼a Mathematics. |
690 | |
▼a 0405 |
710 | 20 |
▼a Michigan State University.
▼b Mathematics - Doctor of Philosophy. |
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▼t Dissertations Abstracts International
▼g 80-12B. |
773 | |
▼t Dissertation Abstract International |
790 | |
▼a 0128 |
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▼a Ph.D. |
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▼a 2019 |
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▼a English |
856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T15491700
▼n KERIS
▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
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▼a 202002
▼f 2020 |
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▼a ***1008102 |
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▼a E-BOOK |