Dual F-signature of Cohen-Macaulay modules over rational double points
Dual F-signature of Cohen-Macaulay modules over rational double points
复制标题
有理双点上 Cohen-Macaulay 模块的双 F 签名
DOI：
10.1007/s10468-015-9538-7
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发表时间：
2015
影响因子：
0.6
通讯作者：
Yusuke Nakajima
中科院分区：
文献类型：
--
作者：
Fujii K;Yamashita D;Yoshioka S;Isaka T;Kouzaki M.;山中浩司・野島那津子・樋口麻里;Yusuke Nakajima;藤井 慶輔;Natsuko Nojima;千島雄太;Yusuke Nakajima
对偶F-签名是由正特征Frobenius态射定义的数值不变量。众所周知，对偶F-签名具有一定的奇异性。然而，除了在少数情况下，双重F签名的值是未知的。本文确定了二维有理双点上Cohen-Macaulay模的对偶F-签名。确定对偶F-签名的方法也适用于确定希尔伯特-昆兹重数。我们在附录中对此进行了讨论。
The dualF-signature is a numerical invariant defined via the Frobenius morphism in positive characteristic. It is known that the dualF-signature characterizes some singularities. However, the value of the dualF-signature is not known except in only a few cases. In this paper, we determine the dualF-signature of Cohen-Macaulay modules over two-dimensional rational double points. The method for determining the dualF-signature is also valid for determining the Hilbert-Kunz multiplicity. We discuss it in Appendix.