Frobenius-projective structures on curves in positive characteristic

DOI10.4171/PRIMS/56-2-5zbMath1447.14004OpenAlexW3014125355MaRDI QIDQ2179609

Yuichiro Hoshi

Publication date: 13 May 2020

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/prims/56-2-5

zbMATH Keywords

\(p\)-adic Teichmuller theoryFrobenius-destabilized bundleFrobenius-indigenous structureFrobenius-projective structurepseudo-coordinate

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Local ground fields in algebraic geometry (14G20) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (5)

Quantization on algebraic curves with Frobenius-projective structure ⋮ FROBENIUS-AFFINE STRUCTURES AND TANGO CURVES ⋮ Cyclic étale coverings of generic curves and ordinariness of dormant opers ⋮ Frobenius-Ehresmann structures and Cartan geometries in positive characteristic ⋮ Belyi’s theorem in characteristic two

Cites Work

• Nilpotent admissible indigenous bundles via Cartier operators in characteristic three
• A theory of ordinary \(p\)-adic curves
• Mochizuki's crys-Stable bundles: a lexicon and applications
• Special coordinate coverings of Riemann surfaces
• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• Notes on Crystalline Cohomology. (MN-21)
• A NOTE ON DORMANT OPERS OF RANK IN CHARACTERISTIC
• Belyi’s theorem in characteristic two

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