A note on Bogomolov-Gieseker's inequality in positive characteristic

DOI10.1215/S0012-7094-91-06418-5zbMath0769.14005OpenAlexW1571588307MaRDI QIDQ1190843

Atsushi Moriwaki

Publication date: 27 September 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-91-06418-5

zbMATH Keywords

positive characteristicsemistable sheafBogomolov-Gieseker inequality

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Characteristic classes and numbers in differential topology (57R20) Finite ground fields in algebraic geometry (14G15)

Related Items (5)

Bogomolov instability of higher rank sheaves on surfaces in characteristic \(p\) ⋮ On the Bogomolov-Gieseker inequality for tame Deligne-Mumford surfaces ⋮ Restriction of stable bundles in characteristic 𝑝 ⋮ On boundedness of semistable sheaves ⋮ Frobenius pull-back of vector bundles of rank 2 over non-uniruled varieties

Cites Work

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• Stable vector bundles on projective spaces in \(\text{char}p>0\)
• Semistable sheaves on projective varieties and their restriction to curves
• On boundedness of families of torsion free sheaves
• Unstable vector bundles and linear systems on surfaces in characteristic p
• Semi-stably polarized fiber spaces and Bogomolov-Gieseker's inequality
• The positivity of the Chern classes of an ample vector bundle
• On a Theorem of Bogomolov on Chern Classes of Stable Bundles
• Stable vector bundles on an algebraic surface
• Lectures on Curves on an Algebraic Surface. (AM-59)
• P-Ample Bundles and Their Chern Classes

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