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arxiv: 2605.28278 · v1 · pith:RU6OYK3Dnew · submitted 2026-05-27 · 🧮 math.AG · math.NT

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

classification 🧮 math.AG math.NT
keywords characteristickodairapositivesurfacesvanishingapplybrauer--maninbrauer-manin
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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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