Bounding the genus of subvarieties of generic hypersurfaces from below
Algebraic Geometry
2007-05-23 v1
Abstract
A second-order invariant of C. Voisin gives a powerful method for bounding from below the geometric genus of a k-dimensional subvariety of a degree-d hypersurface in complex projective n-space. This work uses the Voisin method to establish a general bound, which lies behind recent results of G. Pacienza and Z. Ran.
Keywords
Cite
@article{arxiv.math/0211257,
title = {Bounding the genus of subvarieties of generic hypersurfaces from below},
author = {Herbert Clemens},
journal= {arXiv preprint arXiv:math/0211257},
year = {2007}
}
Comments
29 pages, latex2e file