Beyond a conjecture of Clemens

Details Beyond a conjecture of Clemens Beyond a conjecture of Clemens

1999-11-21

arxiv.org/abs/math/9911161v2

Mathematics

Algebraic Geometry

Statements and proofs have been modified. In some cases the results are now stronger. In particular, we prove that a generic s

Scientific paper

We prove some lower bounds on certain twists of the canonical bundle of a
codimension-2 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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