English

Purity at the end

Algebraic Geometry 2009-09-06 v3 Algebraic Topology

Abstract

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.

Keywords

Cite

@article{arxiv.0809.1885,
  title  = {Purity at the end},
  author = {Andrzej Weber},
  journal= {arXiv preprint arXiv:0809.1885},
  year   = {2009}
}

Comments

14 pages. new version is extended and reorganized

R2 v1 2026-06-21T11:19:02.826Z