Rational curves on hypersurfaces of low degree
Joe Harris, Mike Roth, Jason Starr
Abstract
Let n > 2 and let d < (n+1)/2. We prove that for a general hypersurface X of degree d in Pn, all the genus 0 Kontsevich moduli spaces M0,n(X,e) are irreducible, reduced, local complete intersection stacks of the expected dimension.
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