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arXiv · 1311.1789

Two Mayer-Vietoris spectral sequences for $\mathcal{D}$-modules

Alberto Castaño Domínguez
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Abstract

We provide two Mayer-Vietoris-like spectral sequences related to the localization over the complement of a closed subvariety of an algebraic variety by using techniques from $\mathcal{D}$-modules and homological algebra. We also give, as an application of the previous, a method to calculate the cohomology of the complement of any arrangement of hyperplanes over an algebraically closed field of characteristic zero.

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Alberto Castaño Domínguez. 2013-11-07. Two Mayer-Vietoris spectral sequences for $\mathcal{D}$-modules. https://arxiv.org/abs/1311.1789

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