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摘要翻译：
将对数导数和微分模的定义统一起来，给出了多重排列广义对数模的一个新定义。该模块被实现为多重数由正负整数组成的超平面排列的对数导子模块。我们考虑了该模的几个性质，包括Saito判据和自反性。作为应用，我们利用本原导数证明了一些Coxeter多重排列的移位同构和对偶性。
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英文标题：
《A generalized logarithmic module and duality of Coxeter
multiarrangements》
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作者：
Takuro Abe
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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：Commutative Algebra 交换代数
分类描述：Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics
交换环，模，理想，同调代数，计算方面，不变理论，与代数几何和组合学的联系
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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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英文摘要：
We introduce a new definition of a generalized logarithmic module of multiarrangements by uniting those of the logarithmic derivation and the differential modules. This module is realized as a logarithmic derivation module of an arrangement of hyperplanes with a multiplicity consisting of both positive and negative integers. We consider several properties of this module including Saito's criterion and reflexivity. As applications, we prove a shift isomorphism and duality of some Coxeter multiarrangements by using the primitive derivation.
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PDF链接：
https://arxiv.org/pdf/0807.2552
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