On the geometric genus of subvarieties of generic hypersurfaces

Details On the geometric genus of subvarieties of generic hypersurfaces On the geometric genus of subvarieties of generic hypersurfaces

2002-04-20

arxiv.org/abs/math/0204256v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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