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Kodaira dimension of symmetric powers

Donu Arapura·Sviatoslav Archava
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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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Donu Arapura, Sviatoslav Archava. 2000-06-14. Kodaira dimension of symmetric powers. https://arxiv.org/abs/math/0006107

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