Line bundles on rigid varieties and Hodge symmetry
D Hansen, S Li - Mathematische Zeitschrift, 2020 - Springer
D Hansen, S Li
Mathematische Zeitschrift, 2020•SpringerWe 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.
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.
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.
Springer
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