-
Twisted genus bounds for subvarieties of generic hypersurfaces
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 126, Number 1, February 2004
- pp. 89-120
- 10.1353/ajm.2004.0003
- Article
- Additional Information
We prove some lower bounds on certain twists of the canonical bundle of a subvariety of a generic hypersurface in projective space. In particular we prove that the generic sextic threefold contains no rational or elliptic curves and no nondegenerate curves of genus 2.