关于对数正则对的 Nakamaye 定理
代数几何
2014-12-24 v4
摘要
我们将 Nakamaye 通过相交理论对具有对数正则奇点的正规对（或更一般地，非 lc locus 维数至多为 1 的正规簇）上大且 nef 除子的增广基底的描述进行了推广。我们还推广了 Ein-Lazarsfeld-Mustata-Nakamaye-Popa 通过赋值对具有 klt 奇点的正规对上大除子的限制基底的子簇的描述。
引用
@article{arxiv.1303.7156,
title = {Nakamaye's theorem on log canonical pairs},
author = {Salvatore Cacciola and Angelo Felice Lopez},
journal= {arXiv preprint arXiv:1303.7156},
year = {2014}
}
备注
v2: We removed, in the introduction, the phrase about Choi's papers, as he uses Nakamaye's theorem in the semiample case. Updated references. v3: added reference to Ambro's "Quasi-log varieties". v4: improved exposition in sections 1, 2 and 4; slightly corrected the statement of Lemma 3.1