Bounding the genus of subvarieties of generic hypersurfaces from below

Details Bounding the genus of subvarieties of generic hypersurfaces from below Bounding the genus of subvarieties of generic hypersurfaces from below

2002-11-18

arxiv.org/abs/math/0211257v1

Mathematics

Algebraic Geometry

29 pages, latex2e file

Scientific paper

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.

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