摘要翻译:
我们给出了一个奇异点的经典单zeta函数的等变形式,它的系数来自有理数域删失的有限G-集的Grothendieck环。定义的两个主要成分是等变Lefschetz数和有限G-集Grothendieck环上的λ结构。我们给出了等变zeta函数的一个A'Campo型公式。
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英文标题:
《An equivariant version of the monodromy zeta function》
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作者:
S.M. Gusein-Zade, I. Luengo, A. Melle Hernandez
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最新提交年份:
2008
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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一级分类:Mathematics 数学
二级分类:Complex Variables 复变数
分类描述:Holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves
全纯函数,自守群作用与形式,伪凸性,复几何,解析空间,解析束
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英文摘要:
We offer an equivariant version of the classical monodromy zeta function of a singularity as a series with coefficients from the Grothendieck ring of finite G-sets tensored by the field of rational numbers. Main two ingredients of the definition are equivariant Lefschetz numbers and the lambda-structure on the Grothendieck ring of finite G-sets. We give an A'Campo type formula for the equivariant zeta function.
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PDF链接:
https://arxiv.org/pdf/0803.3708