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}
}
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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On rigid-analytic Picard varieties
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