First Milnor cohomology of hyperplane arrangements, Contemp
First Milnor cohomology of hyperplane arrangements, Contemp
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超平面排列的第一米尔诺上同调，Contemp
DOI：
10.1090/conm/538/10606
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Morihiko
中科院分区：
文献类型：
--
作者：
Budur;Nero; Dimca;Alexandru; Saito;Morihiko
我们展示了满足某些组合条件的超平面排列的第一米尔诺上同调的非单能单性部分的维数下界的组合公式。如果满足更强的组合条件，这将准确给出其维度。我们还证明了第一 Milnor 上同调非单能部分维数的非组合公式，该公式显然取决于奇点的位置。后者概括了第二位作者先前获得的公式。
We show a combinatorial formula for a lower bound of the dimension of the non-unipotent monodromy part of the first Milnor cohomology of a hyperplane arrangement satisfying some combinatorial conditions. This gives exactly its dimension if a stronger combinatorial condition is satisfied. We also prove a non-combinatorial formula for the dimension of the non-unipotent part of the first Milnor cohomology, which apparently depends on the position of the singular points. The latter generalizes a formula previously obtained by the second named author.