Purity at the end

Details Purity at the end Purity at the end

2008-09-10

arxiv.org/abs/0809.1885v3

Mathematics

Algebraic Geometry

14 pages. new version is extended and reorganized

Scientific paper

We consider smooth completion of algebraic manifolds. Having some information
about its singular completions or about completions of its images we prove
purity of cohohomology of the set at infinity. We deduce also some topological
properties. The work is based on the study of perverse direct images for
algebraic maps.

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