All toric local complete intersection singularities admit projective crepant resolutions
All toric local complete intersection singularities admit projective crepant resolutions
复制标题
所有环面局部完全交集奇点都承认射影绉纹分辨率
DOI：
10.2748/tmj/1178207533
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发表时间：
2001
影响因子：
0.5
通讯作者：
G. Ziegler
中科院分区：
文献类型：
--
作者：
D. Dais;Christian Haase;G. Ziegler
已知所有可作为仿射空间中超曲面的完全交嵌入的交换商奇点的底层空间可以通过所有维的投射环面等变crepant双有理态射来整体求解。在本文中，我们将这一结果推广到整个类的环面局部完全相交奇点。我们惊人的简单证明利用中岛的分类定理和一些技术，从复曲面和离散几何。
It is known that the underlying spaces of all abelian quotient singularities which are embeddable as complete intersections of hypersurfaces in an affine space can be overall resolved by means of projective torus-equivariant crepant birational morphisms in all dimensions. In the present paper we extend this result to the entire class of toric local complete intersection singularities. Our strikingly simple proof makes use of Nakajima's classification theorem and of some techniques from toric and discrete geometry.
DOI：
10.1515/9783110814736.221
发表时间：
1994-11
期刊：
arXiv: Algebraic Geometry
影响因子：
--
作者：
Yukari Ito;M. Reid
通讯作者：
Yukari Ito;M. Reid