On the behaviour of strong semistability in geometric deformations

zbMath1310.14034arXiv1107.0877MaRDI QIDQ405391

Holger Brenner, Axel Stäbler

Publication date: 5 September 2014

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.0877

zbMATH Keywords

projective curveFrobenius morphismvector bundlesemistable vector bundle

Mathematics Subject Classification ID

Vector bundles on curves and their moduli (14H60)

Related Items (2)

On base change of the fundamental group scheme ⋮ Deciding stability of sheaves on curves

Uses Software

• CoCoA
• Macaulay2

Cites Work

• The rationality of the Hilbert-Kunz multiplicity in graded dimension two
• Restrictions of semistable bundles on projective varieties
• Stable reflexive sheaves
• Semistable sheaves on projective varieties and their restriction to curves
• Hilbert-Kunz functions in a family: Point-\(S_4\) quartics
• Hilbert-Kunz functions of cubic curves and surfaces
• Semistable sheaves in positive characteristic
• A note on restriction theorems for semistable sheaves
• On Frobenius-destabilized rank-2 vector bundles over curves
• On the Hilbert-Kunz function of \(z^D-p_{4}(x,y)\)
• Dagger closure and solid closure in graded dimension two
• There is no Bogomolov type restriction theorem for strong semistability in positive characteristic
• On a Problem of Miyaoka

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