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arXiv · 1708.08506

Line bundles on rigid varieties and Hodge symmetry

David Hansen·Shizhang Li
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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.

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David Hansen, Shizhang Li. 2017-08-28. Line bundles on rigid varieties and Hodge symmetry. https://doi.org/10.1007/s00209-020-02535-3

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