Finiteness of rational curves of degree 12 on a general quintic threefold
Algebraic Geometry
2016-09-29 v3
Abstract
We prove the following statement, predicted by Clemens' conjecture: A generic quintic threefold contains only finitely many smooth rational curves of degree 12.
Keywords
Cite
@article{arxiv.1607.07994,
title = {Finiteness of rational curves of degree 12 on a general quintic threefold},
author = {Edoardo Ballico and Claudio Fontanari},
journal= {arXiv preprint arXiv:1607.07994},
year = {2016}
}
Comments
Accepted for publication on "Pure and Applied Mathematics Quarterly"