%0 Journal Article
%T Bounding the genus of subvarieties of generic hypersurfaces from below
%A Herbert Clemens
%J Mathematics
%D 2002
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0211257v1