Pure and Applied Mathematics Quarterly
Volume 11 (2015)
Special Issue: In Honor of Eduard Looijenga, Part 1 of 3
Guest Editor: Gerard van der Geer
Finiteness of rational curves of degree $12$ on a general quintic threefold
Pages: 537 – 557
We prove the following statement, predicted by Clemens’ conjecture: A generic quintic threefold contains only finitely many smooth rational curves of degree $12$.
quintic threefold, rational curve, Clemens’ conjecture