On the connectivity of some complete intersections
Algebraic Geometry
2010-02-05 v1 Algebraic Topology
Abstract
We show that the complement of a degree hypersurface in a projective complete intersection, whose defining equations have degrees strictly larger than , has a rational connectivity higher than expected. The key new feature is that a positivity result replaces the usual transversality conditions needed to get such connectivity results.
Keywords
Cite
@article{arxiv.math/0507501,
title = {On the connectivity of some complete intersections},
author = {Alexandru Dimca},
journal= {arXiv preprint arXiv:math/0507501},
year = {2010}
}