Stability and unobstructedness of syzygy bundles

DOI10.1016/j.jpaa.2009.10.009zbMath1186.14045arXiv0901.2457OpenAlexW2039734546MaRDI QIDQ2267434

Pedro Macias Marques, Laura Costa, Rosa Maria Miró-Roig

Publication date: 1 March 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.2457

zbMATH Keywords

projective spacesemistabilitysyzygy bundlesmoduli space of stable bundles

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Algebraic moduli problems, moduli of vector bundles (14D20) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items

Semistable Vector Bundles and Tannaka Duality from a Computational Point of View ⋮ A note on stability of syzygy bundles on Enriques and bielliptic surfaces ⋮ Syzygy bundles of non-complete linear systems: stability and rigidness ⋮ Ein-Lazarsfeld-Mustopa conjecture for the blow-up of a projective space ⋮ Matrices of linear forms of constant rank from vector bundles on projective spaces ⋮ On a Whitham-type equation ⋮ Simplicity and exceptionality of syzygy bundles over \(\mathbb{P}^n\) ⋮ Stability of syzygy bundles

Cites Work

• Looking out for stable syzygy bundles
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• Moduli of stable sheaves. I
• Moduli of stable sheaves. II
• Stable bundles, representation theory and Hermitian operators
• EQUIVARIANT BUNDLES ON TORAL VARIETIES
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