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Hypersurfaces of low degree are rationally simply-connected

Jason Michael Starr

math.AGarXiv:math/0602641

Abstract

This article proves hypersurfaces of degree d in projective n-space are "rationally simply-connected" if d2 ≤ n. In a forthcoming paper, de Jong and I prove a slightly weaker result when d2 ≤ n+1.

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