Kodaira dimension of symmetric powers

Details Kodaira dimension of symmetric powers Kodaira dimension of symmetric powers

2000-06-14

arxiv.org/abs/math/0006107v1

Mathematics

Algebraic Geometry

4 pages, latex

Scientific paper

In this short note, we determine the Kodaira dimension and some of the
plurigenera of (a desingularization of) a symmetric power of a smooth
projective variety. We use it to obtain bounds on the genus of curve passing
through a fixed number of general points.

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