Symplectic geometry of \(p\)-adic Teichmüller uniformization for ordinary nilpotent indigenous bundles

DOI10.2140/tunis.2022.4.203OpenAlexW4288358562MaRDI QIDQ2674615

Yasuhiro Wakabayashi

Publication date: 14 September 2022

Published in: Tunisian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.03368

zbMATH Keywords

uniformizationsymplectic structurecrystalhyperbolic curvecanonical lifting\(p\)-adic Teichmüller theoryindigenous bundle

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Symplectic structures of moduli spaces (53D30) (p)-adic cohomology, crystalline cohomology (14F30)

Cites Work

• Sur les groupes de Chevalley
• On the symplectic form of the moduli space of projective structures
• The symplectic nature of fundamental groups of surfaces
• Cohomologie cristalline des schemas de caractéristique \(p >0\)
• A theory of ordinary \(p\)-adic curves
• On the symplectic structure over a moduli space of orbifold projective structures
• The symplectic nature of the space of projective connections on Riemann surfaces
• The complex symplectic geometry of the deformation space of complex projective structures
• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• Notes on Crystalline Cohomology. (MN-21)
• A theory of dormant opers on pointed stable curves
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