Purely Log Terminal Threefolds with Non-Normal Centres in Characteristic Two
Purely Log Terminal Threefolds with Non-Normal Centres in Characteristic Two
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DOI：
10.1353/ajm.2019.0025
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发表时间：
2016-07
影响因子：
1.7
通讯作者：
Paolo Cascini;Hiromu Tanaka
中科院分区：
文献类型：
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作者：
Paolo Cascini;Hiromu Tanaka
摘要：我们证明了最小模型程序的许多经典结果在特征为2的代数闭域上不成立。事实上，我们构建了一个三维plt对，其余维的一部分是不正常的，一个三维klt奇异性，这是不是合理的，也不是科恩-麦考利，和klt Fano三倍与非平凡的中间上同调。
abstract:We show that many classical results of the minimal model program do not hold over an algebraically closed field of characteristic two. Indeed, we construct a three dimensional plt pair whose codimension one part is not normal, a three dimensional klt singularity which is not rational nor Cohen-Macaulay, and a klt Fano threefold with non-trivial intermediate cohomology.