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The Vanishing of the Brauer Group of a del Pezzo Surface of Degree 4
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | The Vanishing of the Brauer Group of a del Pezzo Surface of Degree 4. |
| 개인저자 | Riman, Manar. |
| 단체저자명 | University of Washington. Mathematics. |
| 발행사항 | [S.l.]: University of Washington., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 55 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-04B. Dissertation Abstract International |
| ISBN | 9781088306895 |
| 학위논문주기 | Thesis (Ph.D.)--University of Washington, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Viray, Bianca. |
| 이용제한사항 | This item must not be sold to any third party vendors.This item must not be added to any third party search indexes. |
| 요약 | A del Pezzo surface X of degree 4 over a field k can be thought of as the smooth complete intersection of 2 quadrics in P4. Arithmetic geometers are interested in computing the quotient of its Brauer group Br X/Br0 X, where Br0 X is the image of Br k in Br X. Several algorithms have been implemented to compute this quotient. The algorithms rely on a specific arithmetic input related to the solvability of certain quadrics associated to the pencil determined by X.We explicitly construct a del Pezzo surface X of degree 4 over a field k such that H1(k,Pic X) is isomorphic to Z/2Z while Br X/Br k is trivial. This proves that the algorithm to compute the Brauer group cannot be generalized in some cases. |
| 일반주제명 | Mathematics. Algorithms. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
