The Frobenius map, rank 2 vector bundles and Kummer's quartic surface in characteristic 2 and 3

DOI10.1016/S0001-8708(03)00211-1zbMath1055.14038arXivmath/0203175MaRDI QIDQ596606

Yves Laszlo, Christian Pauly

Publication date: 10 August 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0203175

zbMATH Keywords

moduli of rank 2 vector bundles over a curverelative Frobenius

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60)

Related Items (9)

Hitchin-Mochizuki morphism, opers and Frobenius-destabilized vector bundles over curves ⋮ A smooth counterexample to Nori’s conjecture on the fundamental group scheme ⋮ The generalized Verschiebung map for curves of genus 2 ⋮ An upper bound on the generic degree of the generalized Verschiebung for rank two stable bundles ⋮ Semistability of Frobenius direct images over curves ⋮ The action of the Frobenius map on rank 2 vector bundles over a supersingular genus 2 curve in characteristic \(2\) ⋮ The Frobenius action on rank 2 vector bundles over curves in small genus and small characteristic ⋮ The arithmetic of characteristic 2 Kummer surfaces and of elliptic Kummer lines ⋮ 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
• Schottky-Jung relations and vectorbundles on hyperelliptic curves
• Valuative criteria for families of vector bundles on algebraic varieties
• An explicit theorem of the square for hyperelliptic Jacobians.
• Nef line bundles which are not ample
• The irreducibility of the space of curves of a given genus
• Pencils of quadrics and hyperelliptic curves in characteristic two.
• Über die Modulschemata der Kurven vom Geschlecht 2 mit 1, 2 oder 3 Weierstraßpunkten.
• The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".
• (16,6) configurations and geometry of Kummer surfaces in 𝑃³
• The action of the Frobenius map on rank 2 vector bundles in characteristic 2
• Sections des fibrés vectoriels sur une courbe
• Stable vector bundles and the frobenius morphism
• Frobenius-unstable bundles and $p$-curvature
• On vector bundles destabilized by Frobenius pull-back

This page was built for publication: The Frobenius map, rank 2 vector bundles and Kummer's quartic surface in characteristic 2 and 3