Frobenius pull-back of vector bundles of rank 2 over non-uniruled varieties

DOI10.1007/BF01445114zbMath0808.14036OpenAlexW2062074768MaRDI QIDQ1318068

Atsushi Moriwaki

Publication date: 26 April 1994

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

Full work available at URL: https://eudml.org/doc/165094

zbMATH Keywords

positive characteristicFrobenius morphismunirulednessBogomolov-Gieseker inequalitynon-uniruled varieties

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Rational and ruled surfaces (14J26) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (3)

Bogomolov instability of higher rank sheaves on surfaces in characteristic \(p\) ⋮ Vanishing theorems and adjoint linear systems on normal surfaces in positive characteristic ⋮ Restriction of stable bundles in characteristic 𝑝

Cites Work

• A numerical criterion for uniruledness
• Vector bundles of rank 2 and linear systems on algebraic surfaces
• Canonical models of surfaces of general type in positive characteristic
• A note on Bogomolov-Gieseker's inequality in positive characteristic
• Unstable vector bundles and linear systems on surfaces in characteristic p
• Geography for surfaces of general type in positive characteristic
• Boundedness of semi-stable sheaves of small ranks
• Stable vector bundles and the frobenius morphism

This page was built for publication: Frobenius pull-back of vector bundles of rank 2 over non-uniruled varieties