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arXiv · 2411.03510

A note on Kodaira vanishing on surfaces

Cristian Martinez
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Abstract

We give a proof of the Kodaira vanishing theorem on smooth complex surfaces using geometric stability conditions. Likewise, we give a new proof of a result of Xie characterizing the counterexamples of the Kodaira vanishing theorem in positive characteristic.

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Cristian Martinez. 2024-11-05. A note on Kodaira vanishing on surfaces. https://arxiv.org/abs/2411.03510

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