English

Rigid-analytic varieties with projective reduction violating Hodge symmetry

Algebraic Geometry 2021-06-21 v3 Number Theory

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

Keywords

Cite

@article{arxiv.2005.02226,
  title  = {Rigid-analytic varieties with projective reduction violating Hodge symmetry},
  author = {Alexander Petrov},
  journal= {arXiv preprint arXiv:2005.02226},
  year   = {2021}
}

Comments

minor edits, final version

R2 v1 2026-06-23T15:19:31.129Z