论文标题

质量公式和尖锐的点数,用于驯服阿贝尔群体的半导体产品以及特征三

Mass formulas and stringy point-count for semi-direct products of tame abelian groups and wild symmetric or cyclic groups in characteristic three

论文作者

Yamamoto, Takahiro

论文摘要

在积极的特征中,存在与与麦凯对应关系的Batyrev定理相对应的陈述的反例。在本文中,我们通过对某些商品种序列使用弦点计数对反例进行了另一项计算。有一个证明Serre-Bhagava的质量公式,这是数字理论中重要的公式,这是从与对称群体的表示相关的商标的计算计算的计算。在本文中,我们对弦点计数的计算被认为是此证明的一种变体,以提供不同版本的质量公式。

In positive characteristic, there exist counterexamples to the statement corresponding to Batyrev's theorem concerning the McKay correspondence. In this paper, we give another computation of the counterexamples by using stringy-point count for some sequences of quotient varieties. There is a proof of the Serre-Bhagava's mass formula, which is important formula in the number theory, from the computation of stringy-point count of a quotient variety associated to a representation of symmetric group. Our computation of the stringy-point count in this paper is regarded as a variation of this proof to give different versions of mass formula.

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