Kernel Bundles, Syzygies Of Points, and The Effective Cone of C_{g-2}

Details Kernel Bundles, Syzygies Of Points, and The Effective Cone of C_{g-2} Kernel Bundles, Syzygies Of Points, and The Effective Cone of C_{g-2}

2009-07-14

arxiv.org/abs/0907.2286v2

Mathematics

Algebraic Geometry

This is a substantial revision. Proposition III has been modified to account for a gap in the original statement, and the sect

Scientific paper

We obtain a complete description of the effective cone of $C_{g-2}$ when $C$ is a general curve of genus $g \geq 6,$ as well as a new bound in the case where $C$ is a smooth plane quintic. In addition, we obtain a new virtual bound for the effective cone of $C_{g-2m}$ which is a genuine bound when $m=2,$ and we also characterize certain natural divisors on $C_{g-2}$ as subordinate loci associated to adjunctions of kernel bundles.

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