A theory of ordinary \(p\)-adic curves

DOI10.2977/prims/1195145686zbMath0879.14009OpenAlexW2071618654MaRDI QIDQ1360069

Shinichi Mochizuki

Publication date: 29 January 1998

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/10.2977/prims/1195145686

zbMATH Keywords

elliptic curvescharacteristic \(p\)Mumford curvesFrobenius-liftmoduli space of ordinary curves

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) Local ground fields in algebraic geometry (14G20) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items (20)

Hitchin-Mochizuki morphism, opers and Frobenius-destabilized vector bundles over curves ⋮ Rank 2 local systems, Barsotti-Tate groups, and Shimura curves ⋮ Period collapse in Ehrhart quasi-polynomials of \(\{1,3\}\)-graphs ⋮ Minimal degree liftings in characteristic 2 ⋮ Hermitian vector bundles and extension groups on arithmetic schemes. I: Geometry of numbers ⋮ Frobenius-projective structures on curves in positive characteristic ⋮ Symplectic geometry of \(p\)-adic Teichmüller uniformization for ordinary nilpotent indigenous bundles ⋮ A combinatorial description of the dormant Miura transformation ⋮ Cyclic étale coverings of generic curves and ordinariness of dormant opers ⋮ Uniformization of \(p\)-adic curves via Higgs-de Rham flows ⋮ ON MAXIMALLY FROBENIUS DESTABILISED VECTOR BUNDLES ⋮ An explicit formula for the generic number of dormant indigenous bundles ⋮ Cubic graphs, their Ehrhart quasi-polynomials, and a scissors congruence phenomenon ⋮ HYPERBOLIC ORDINARINESS OF HYPERELLIPTIC CURVES OF LOWER GENUS IN CHARACTERISTIC THREE ⋮ Open problems in algebraic geometry ⋮ Frobenius-unstable bundles and $p$-curvature ⋮ Spin networks, Ehrhart quasipolynomials, and combinatorics of dormant indigenous bundles ⋮ Serre-Tate theory for Calabi-Yau varieties ⋮ Semistable Higgs bundles, periodic Higgs bundles and representations of algebraic fundamental groups ⋮ Correspondences on hyperbolic curves

Cites Work

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