Rational curves on hypersurfaces of low degree
Algebraic Geometry
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0203088,
title = {Rational curves on hypersurfaces of low degree},
author = {Joe Harris and Mike Roth and Jason Starr},
journal= {arXiv preprint arXiv:math/0203088},
year = {2007}
}
Comments
41 pages, 2 figures