arXiv Analytics

Sign in

arXiv:math/0204256 [math.AG]AbstractReferencesReviewsResources

On the geometric genus of subvarieties of generic hypersurfaces

Herbert Clemens, Ziv Ran

Published 2002-04-20Version 1

We prove some lower bounds on certain nonegative 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.

Categories: math.AG
Subjects: 14N99, 14J70
Related articles: Most relevant | Search more
arXiv:math/9911161 [math.AG] (Published 1999-11-21, updated 2000-05-03)
Beyond a conjecture of Clemens
arXiv:math/0208179 [math.AG] (Published 2002-08-23)
Zero cycles on generic hypersurfaces of large degree
arXiv:math/0111064 [math.AG] (Published 2001-11-06)
The signature of a toric variety

Links

Toolbox