特征二下圆锥丛三重态的非分歧 Brauer 群
代数几何
2018-06-18 v2
摘要
我们建立了一个公式，用于计算特征 2 下驯顺圆锥丛三重态的非分歧 Brauer 群。该公式取决于判别式分量的排列和留数双重覆盖，后者由 Artin-Schreier 理论（而非特征不为 2 时的 Kummer 理论）支配。我们利用此给出了在整数上定义但在复数上非稳定有理的圆锥丛三重态的新例子。
引用
@article{arxiv.1806.02668,
title = {Unramified Brauer groups of conic bundle threefolds in characteristic two},
author = {Asher Auel and Alessandro Bigazzi and Christian Böhning and Hans-Christian Graf von Bothmer},
journal= {arXiv preprint arXiv:1806.02668},
year = {2018}
}
备注
29 pages; v2: added Prop. 3.11, removed assumption of rationality for the base surface of the conic bundles, other small improvements