Hypersurfaces of low degree are rationally simply-connected

Details Hypersurfaces of low degree are rationally simply-connected Hypersurfaces of low degree are rationally simply-connected

2006-02-28

arxiv.org/abs/math/0602641v1

Mathematics

Algebraic Geometry

35 pages, posting of older preprint

Scientific paper

This article proves hypersurfaces of degree d in projective n-space are
"rationally simply-connected" if $d^2 \leq n$. In a forthcoming paper, de Jong
and I prove a slightly weaker result when $d^2 \leq n+1$.

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