# Line bundles on rigid varieties and Hodge symmetry

@article{Hansen2017LineBO,
title={Line bundles on rigid varieties and Hodge symmetry},
author={David T. Hansen and Shizhang Li},
journal={Mathematische Zeitschrift},
year={2017},
pages={1-10}
}
• Published 28 August 2017
• Mathematics
• Mathematische Zeitschrift
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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