Canonical filtrations and stability of direct images by Frobenius morphisms
From MaRDI portal
Publication:940734
DOI10.2748/tmj/1215442876zbMath1201.14030OpenAlexW2080837345MaRDI QIDQ940734
Hideyasu Sumihiro, Yukinori Kitadai
Publication date: 1 September 2008
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2748/tmj/1215442876
Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Surfaces of general type (14J29) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)
Related Items
A characterization of ordinary abelian varieties by the Frobenius push-forward of the structure sheaf ⋮ The FFRT property of two-dimensional normal graded rings and orbifold curves ⋮ Bogomolov's inequality for product type varieties in positive characteristic ⋮ Looking out for Frobenius summands on a blown-up surface of \(\mathbb{P}^{2}\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The singular Riemann-Roch theorem and Hilbert-Kunz functions
- Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
- Canonical models of surfaces of general type in positive characteristic
- Unstable vector bundles and linear systems on surfaces in characteristic p
- Geography for surfaces of general type in positive characteristic
- On the semisimplicity of tensor products of representations of groups
- Semi-stability and reduction \(\bmod p\)
- Semistable sheaves in positive characteristic
- On Frobenius-destabilized rank-2 vector bundles over curves
- Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
- Semistability of Frobenius direct images over curves
- Stable vector bundles and the frobenius morphism
- On vector bundles destabilized by Frobenius pull-back
