The generalized Verschiebung map for curves of genus 2

DOI10.1007/s00208-006-0026-6zbMath1111.14031arXivmath/0410613OpenAlexW2594451935MaRDI QIDQ863411

Brian Osserman

Publication date: 26 January 2007

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410613

Mathematics Subject Classification ID

Vector bundles on curves and their moduli (14H60)

Related Items

Hitchin-Mochizuki morphism, opers and Frobenius-destabilized vector bundles over curves ⋮ Projective crystalline representations of étale fundamental groups and twisted periodic Higgs-de Rham flow ⋮ The Picard group of a coarse moduli space of vector bundles in positive characteristic ⋮ An upper bound on the generic degree of the generalized Verschiebung for rank two stable bundles ⋮ Semistability of Frobenius direct images over curves ⋮ The morphism induced by Frobenius push-forward ⋮ Frobenius-unstable bundles and $p$-curvature ⋮ Density of vector bundles periodic under the action of Frobenius ⋮ Simply connected varieties in characteristic ⋮ The Frobenius action on rank 2 vector bundles over curves in small genus and small characteristic ⋮ Logarithmic connections with vanishing \(p\)-curvature ⋮ Frobenius stratification of moduli spaces of rank 3 vector bundles in positive characteristic 3, I

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Frobenius map, rank 2 vector bundles and Kummer's quartic surface in characteristic 2 and 3
• Logarithmic connections with vanishing \(p\)-curvature
• Moduli of stable sheaves. II
• Lectures on introduction to moduli problems and orbit spaces
• Factorisation of generalised theta functions. I
• Conformal blocks and generalized theta functions
• Algebraic loop groups and moduli spaces of bundles
• Semistable sheaves in positive characteristic
• On Frobenius-destabilized rank-2 vector bundles over curves
• Mochizuki's crys-Stable bundles: a lexicon and applications
• Moduli of vector bundles on a compact Riemann surface
• Théorie de Hodge. II. (Hodge theory. II)
• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• Moduli of vector bundles, Frobenius splitting, and invariant theory
• Geometric Invariant Theory
• The line bundles on the moduli of parabolic G-bundles over curves and their sections
• The action of the Frobenius map on rank 2 vector bundles in characteristic 2
• Sections des fibrés vectoriels sur une courbe
• Frobenius-unstable bundles and $p$-curvature
• Functors of Artin Rings
• A conjecture on arithmetic fundamental groups