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

Alberto Castaño Domínguez

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

Algebraic Geometry 2015-12-29 v2

Authors: Alberto Castaño Domínguez

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.

Keywords

spectral sequences hyperplane arrangements spectral theory

Cite

@article{arxiv.1311.1789,
  title  = {Two Mayer-Vietoris spectral sequences for $\mathcal{D}$-modules},
  author = {Alberto Castaño Domínguez},
  journal= {arXiv preprint arXiv:1311.1789},
  year   = {2015}
}

Comments

12 pages; comments are still welcome. v2: several typos corrected, minor grammar changes, exposition improved and results of section 5 generalized

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

Abstract

Keywords

Cite

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