Kodaira dimension of symmetric powers
Donu Arapura, Sviatoslav Archava
math.AGarXiv:math/0006107
Abstract
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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