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  Line bundles on rigid varieties and Hodge symmetry

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0006-BDA8-8 Version Permalink: https://hdl.handle.net/21.11116/0000-0007-4DE7-F
Genre: Journal Article

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 Creators:
Hansen, David1, Author           
Li, Shizhang, Author
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry, 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.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: arXiv: 1708.08506
URI: http://arxiv.org/abs/1708.08506
DOI: 10.1007/s00209-020-02535-3
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Title: Mathematische Zeitschrift
  Abbreviation : Math. Z.
Source Genre: Journal
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Publ. Info: Springer
Pages: - Volume / Issue: 296 (3-4) Sequence Number: - Start / End Page: 1777 - 1786 Identifier: -