Hypersurfaces of low degree are rationally simply-connected
classification
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degreehypersurfacesrationallysimply-connectedarticleforthcomingjongn-space
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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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