There is no Bogomolov type restriction theorem for strong semistability in positive characteristic

DOI10.1090/S0002-9939-05-07843-3zbMath1083.14050arXivmath/0401366OpenAlexW1970928617MaRDI QIDQ4663445

Holger Brenner

Publication date: 31 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401366

zbMATH Keywords

restriction theoremstight closuresemistable bundles

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Vector bundles on curves and their moduli (14H60) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (6)

Rank-2 syzygy bundles on Fermat curves and an application to Hilbert-Kunz functions ⋮ On the behaviour of strong semistability in geometric deformations ⋮ Asymptotic behavior of the socle of Frobenius powers ⋮ On the S-fundamental group scheme ⋮ Strongly semistable reduction of syzygy bundles on plane curves ⋮ Vector bundles on p-adic curves and parallel transport

Cites Work

• Restrictions of semistable bundles on projective varieties
• Semistable sheaves on projective varieties and their restriction to curves
• Vektorbündel auf Kurven und Darstellungen der algebraischen Fundamentalgruppe
• Semistable sheaves in positive characteristic
• Slopes of vector bundles on projective curves and applications to tight closure problems
• Computing the tight closure in dimension two
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