| LDR | | 00000nam u2200205 4500 |
| 001 | | 000000432134 |
| 005 | | 20200224114115 |
| 008 | | 200131s2019 ||||||||||||||||| ||eng d |
| 020 | |
▼a 9781088306895 |
| 035 | |
▼a (MiAaPQ)AAI13898805 |
| 040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 247004 |
| 082 | 0 |
▼a 510 |
| 100 | 1 |
▼a Riman, Manar. |
| 245 | 14 |
▼a The Vanishing of the Brauer Group of a del Pezzo Surface of Degree 4. |
| 260 | |
▼a [S.l.]:
▼b University of Washington.,
▼c 2019. |
| 260 | 1 |
▼a Ann Arbor:
▼b ProQuest Dissertations & Theses,
▼c 2019. |
| 300 | |
▼a 55 p. |
| 500 | |
▼a Source: Dissertations Abstracts International, Volume: 81-04, Section: B. |
| 500 | |
▼a Advisor: Viray, Bianca. |
| 502 | 1 |
▼a Thesis (Ph.D.)--University of Washington, 2019. |
| 506 | |
▼a This item must not be sold to any third party vendors. |
| 506 | |
▼a This item must not be added to any third party search indexes. |
| 520 | |
▼a 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. |
| 590 | |
▼a School code: 0250. |
| 650 | 4 |
▼a Mathematics. |
| 650 | 4 |
▼a Algorithms. |
| 690 | |
▼a 0405 |
| 710 | 20 |
▼a University of Washington.
▼b Mathematics. |
| 773 | 0 |
▼t Dissertations Abstracts International
▼g 81-04B. |
| 773 | |
▼t Dissertation Abstract International |
| 790 | |
▼a 0250 |
| 791 | |
▼a Ph.D. |
| 792 | |
▼a 2019 |
| 793 | |
▼a English |
| 856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T15491983
▼n KERIS
▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
| 980 | |
▼a 202002
▼f 2020 |
| 990 | |
▼a ***1008102 |
| 991 | |
▼a E-BOOK |