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Rigid-analytic varieties with projective reduction violating Hodge symmetry

Published 5 May 2020 in math.AG and math.NT | (2005.02226v3)

Abstract: We construct examples of smooth proper rigid-analytic varieties admitting formal model with projective special fiber and violating Hodge symmetry for cohomology in degrees $\geq 3$. This answers negatively a question raised by Hansen and Li.

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