Stringy zeta functions for Q-Gorenstein varieties
Stringy zeta functions for Q-Gorenstein varieties
复制标题
Q-Gorenstein 品种的弦 zeta 函数
DOI：
10.1215/s0012-7094-03-12031-1
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发表时间：
2003
影响因子：
2.5
通讯作者：
W. Veys
中科院分区：
文献类型：
--
作者：
W. Veys
弦欧拉数和弦e函数是由Batyrev引入的对数终端奇异点的有趣不变量。他利用它们对特定的Calabi-Yau变体对制定了拓扑镜像对称测试，并展示了麦凯对应的一个版本。这是一个很自然的问题，是否可以将这些不变量扩展到日志终端以外的情况。假设最小模型程序，我们引入非常一般的弦不变量，与“几乎所有”奇点有关，更准确地说，与所有非严格对数正则的奇点有关。他们专门研究了奇点为对数终端时Batyrev的不变量。例如，最简单的弦函数通常是单变量的有理函数，但它只是一个常数（Batyrev的弦欧拉数）在对数终端的情况下。
The stringy Euler number and stringy E-function are interesting invariants of log terminal singularities, introduced by Batyrev. He used them to formulate a topological mirror symmetry test for pairs of certain Calabi-Yau varieties, and to show a version of the McKay correspondence. It is a natural question whether one can extend these invariants beyond the log terminal case. Assuming the Minimal Model Program, we introduce very general stringy invariants, associated to 'almost all' singularities, more precisely to all singularities which are not strictly log canonical. They specialize to the invariants of Batyrev when the singularity is log terminal. For example the simplest form of our stringy zeta function is in general a rational function in one variable, but it is just a constant (Batyrev's stringy Euler number) in the log terminal case.
影响因子：
0.9
作者：
P. Wilson
通讯作者：
P. Wilson