Rigid-analytic varieties with projective reduction violating Hodge symmetry

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 $\ge 3$. This answers negatively a question raised by Hansen and Li.

minor edits, final version

References in corpus (5)

• Hodge theory of classifying stacks
• Counterexamples to Hochschild--Kostant--Rosenberg in characteristic $p$
• Line bundles on rigid varieties and Hodge symmetry
• Non-algebraic deformations of flat Kähler manifolds
• Hodge symmetry for rigid varieties via log hard Lefschetz

Cited by in corpus (1)

• Hodge numbers are not derived invariants in positive characteristic