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Rational curves on hypersurfaces of low degree, II

Joe Harris·Jason Starr
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Abstract

This is a continuation of "Rational curves on hypersurfaces of low degree", math.AG/0203088. We prove that if d^2+d+1 < n and d > 2, then for a general hypersurface X_d in P^n of degree d, for each degree e the space of rational curves of degree e on X is itself a rationally connected variety.

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Joe Harris, Jason Starr. 2002-07-27. Rational curves on hypersurfaces of low degree, II. https://arxiv.org/abs/math/0207257

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