Rational curves on hypersurfaces of low degree

Details Rational curves on hypersurfaces of low degree Rational curves on hypersurfaces of low degree

2002-03-08

arxiv.org/abs/math/0203088v1

Mathematics

Algebraic Geometry

41 pages, 2 figures

Scientific paper

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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