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New topological contexts for Galois theory and algebraic geometry (BIRS 2008)

DOI: 10.2140/gtm.2009.16.133

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Intersection homological algebra

Journal article published in 2009 by Mark Hovey
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

We investigate the abelian category which is the target of intersection homology. Recall that, given a stratified space X, we get intersection homology groups IpHnX depending on the choice of an n-perversity p. The n-perversities form a lattice, and we can think of IHnX as a functor from this lattice to abelian groups, or more generally R-modules. Such perverse