Rational curves on hypersurfaces of low degree

Joe Harris; Mike Roth; Jason Starr

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Rational curves on hypersurfaces of low degree

Joe Harris·Mike Roth·Jason Starr

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Abstract

Let n > 2 and let d < (n+1)/2. We prove that for a general hypersurface X of degree d in P^n, all the genus 0 Kontsevich moduli spaces M_{0,n}(X,e) are irreducible, reduced, local complete intersection stacks of the expected dimension.

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Joe Harris, Mike Roth, Jason Starr. 2002-03-08. Rational curves on hypersurfaces of low degree. https://arxiv.org/abs/math/0203088

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