Boundary complexes and weight filtrations

Details Boundary complexes and weight filtrations Boundary complexes and weight filtrations

2011-09-20

arxiv.org/abs/1109.4286v1

Mathematics

Algebraic Geometry

29 pages, 5 figures

Scientific paper

We study the dual complexes of boundary divisors in log resolutions of compactifications of algebraic varieties and show that the homotopy types of these complexes are independent of all choices. Inspired by recent developments in nonarchimedean geometry, we consider relations between these boundary complexes and weight filtrations on singular cohomology and cohomology with compact supports, and give applications to dual complexes of resolutions of isolated singularities that generalize results of Stepanov and Thuillier.

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