Line bundles on rigid varieties and Hodge symmetry

Hansen, David; Li, Shizhang

doi:10.1007/s00209-020-02535-3

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Line bundles on rigid varieties and Hodge symmetry

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Hansen, David
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1007/s00209-020-02535-3
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arXiv:1708.08506.pdf
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Hansen, D., & Li, S. (2020). Line bundles on rigid varieties and Hodge symmetry. Mathematische Zeitschrift, 296(3-4), 1777-1786. doi:10.1007/s00209-020-02535-3.

Cite as: https://hdl.handle.net/21.11116/0000-0006-BDA8-8

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.