三维末端翻转中一般大象的正规性
代数几何
2016-08-15 v2
摘要
我们证明，在三维末端翻转X-->X^+中，一般大象E_{X^+}∈|-K_{X^+}|是正规的。因此，E_{X^+}至多具有Du Val奇点。作为一个推论，在翻转曲线C^+上不存在类型为cE/2、cD/3或cAx/4的非Gorenstein奇点。
引用
@article{arxiv.1608.00364,
title = {Normality of general elephants on 3-fold terminal flips},
author = {Jheng-Jie Chen},
journal= {arXiv preprint arXiv:1608.00364},
year = {2016}
}
备注
This paper has been withdrawn by the author since the main Theorem is a consequence of Theorem 2.2 in the paper "Classification of three-dimensional flips"