Semistable Vector Bundles and Tannaka Duality from a Computational Point of View

DOI10.1080/10586458.2011.594665zbMath1256.14043arXiv1102.3637OpenAlexW2123125103MaRDI QIDQ2903786

Ralf Kasprowitz, Almar Kaid

Publication date: 2 August 2012

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.3637

zbMATH Keywords

monodromy grouptight closuresemistabilityTannaka dualitysemistable vector bundlesyzygy bundlevector Bundles

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Computational aspects of higher-dimensional varieties (14Q15)

Related Items (2)

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

Uses Software

• CoCoA
• LiE

Cites Work

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• Stability and unobstructedness of syzygy bundles
• A note on restriction theorems for semistable sheaves
• Principal bundles on projective varieties and the Donaldson-Uhlenbeck compactification
• A linear bound for Frobenius powers and an inclusion bound for tight closure
• Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Bounds for test exponents

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