Rational curves in Fano hypersurfaces and tropical curves
Algebraic Geometry
2011-08-23 v2
Abstract
Using ideas from the theory of tropical curves and degeneration, we prove that any Fano hypersurface (and more generally Fano complete intersections) is swept by at most quadratic rational curves.
Cite
@article{arxiv.1108.2860,
title = {Rational curves in Fano hypersurfaces and tropical curves},
author = {Takeo Nishinou},
journal= {arXiv preprint arXiv:1108.2860},
year = {2011}
}
Comments
v2. The proof improved