| LDR | | 00000nam u2200205 4500 |
| 001 | | 000000432273 |
| 005 | | 20200224120015 |
| 008 | | 200131s2019 ||||||||||||||||| ||eng d |
| 020 | |
▼a 9781392227565 |
| 035 | |
▼a (MiAaPQ)AAI13896313 |
| 035 | |
▼a (MiAaPQ)grad.msu:16896 |
| 040 | |
▼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. |
| 260 | |
▼a [S.l.]:
▼b Michigan State University.,
▼c 2019. |
| 260 | 1 |
▼a Ann Arbor:
▼b ProQuest Dissertations & Theses,
▼c 2019. |
| 300 | |
▼a 98 p. |
| 500 | |
▼a Source: Dissertations Abstracts International, Volume: 80-12, Section: B. |
| 500 | |
▼a Publisher info.: Dissertation/Thesis. |
| 500 | |
▼a Advisor: Kulkarni, Rajesh S. |
| 502 | 1 |
▼a Thesis (Ph.D.)--Michigan State University, 2019. |
| 506 | |
▼a This item must not be sold to any third party vendors. |
| 520 | |
▼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. |
| 590 | |
▼a School code: 0128. |
| 650 | 4 |
▼a Mathematics. |
| 690 | |
▼a 0405 |
| 710 | 20 |
▼a Michigan State University.
▼b Mathematics - Doctor of Philosophy. |
| 773 | 0 |
▼t Dissertations Abstracts International
▼g 80-12B. |
| 773 | |
▼t Dissertation Abstract International |
| 790 | |
▼a 0128 |
| 791 | |
▼a Ph.D. |
| 792 | |
▼a 2019 |
| 793 | |
▼a English |
| 856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T15491700
▼n KERIS
▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
| 980 | |
▼a 202002
▼f 2020 |
| 990 | |
▼a ***1008102 |
| 991 | |
▼a E-BOOK |