Line bundles on rigid varieties and Hodge symmetry
Algebraic Geometry
2021-01-05 v2 Number Theory
Abstract
We prove several related results on the low-degree Hodge numbers of proper smooth rigid analytic varieties over non-archimedean fields. Our arguments rely on known structure theorems for the relevant Picard varieties, together with recent advances in p-adic Hodge theory. We also define a rigid analytic Albanese naturally associated with any smooth proper rigid space.
Keywords
Cite
@article{arxiv.1708.08506,
title = {Line bundles on rigid varieties and Hodge symmetry},
author = {David Hansen and Shizhang Li},
journal= {arXiv preprint arXiv:1708.08506},
year = {2021}
}
Comments
v1: 9 pages, comments welcome; v2: 8 pages, final and published version