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arXiv · 2605.28278

Brauer--Manin obstruction from failure of Kodaira vanishing in positive characteristic

Fabio Bernasconi·Domenico Valloni
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Abstract

We study the Brauer-Manin set of smooth projective surfaces over global fields of positive characteristic for which Kodaira vanishing fails. Our results apply in particular to Raynaud surfaces.

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Fabio Bernasconi, Domenico Valloni. 2026-05-27. Brauer--Manin obstruction from failure of Kodaira vanishing in positive characteristic. https://arxiv.org/abs/2605.28278

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