Hyperplane arrangement cohomology and monomials in the exterior algebra-Reference-Cited by-同舟云学术

Hyperplane arrangement cohomology and monomials in the exterior algebra

Published:2003-07-10 Issue:11 Volume:355 Page:4365-4383
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Eisenbud David,Popescu Sorin,Yuzvinsky Sergey

Abstract

We show that if X X is the complement of a complex hyperplane arrangement, then the homology of X X has linear free resolution as a module over the exterior algebra on the first cohomology of X X . We study invariants of X X that can be deduced from this resolution. A key ingredient is a result of Aramova, Avramov, and Herzog (2000) on resolutions of monomial ideals in the exterior algebra. We give a new conceptual proof of this result.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2003-355-11/S0002-9947-03-03292-6/S0002-9947-03-03292-6.pdf

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