Castaño Domínguez, Alberto2021-03-232021-03-232015-03-18Castaño Domínguez, A. (2015). Two Mayer-Vietoris Spectral Sequences for D-modules. En null (pp. 17-28). American Mathematical Society.978-1-4704-2729-0https://hdl.handle.net/11441/106470We 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.application/pdf11 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/bookPartinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1090/conm/649/13017