Syzygy bundles of non-complete linear systems: stability and rigidness

DOI10.1007/s00009-023-02456-5arXiv2306.06713OpenAlexW4384030632MaRDI QIDQ6095338

Rosa Maria Miró-Roig, Martí Salat-Moltó

Publication date: 8 September 2023

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

Full work available at URL: https://arxiv.org/abs/2306.06713

zbMATH Keywords

stabilitymoduli spacessyzygy bundles

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Algebraic moduli problems, moduli of vector bundles (14D20) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (1)

Syzygy bundles of non-complete linear systems: stability and rigidness

Cites Work

• Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
• Looking out for stable syzygy bundles
• On a Whitham-type equation
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• Cohomology and toric varieties and local cohomology with monomial supports
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• Stability of syzygy bundles on an algebraic surface
• SEMISTABILITY OF SYZYGY BUNDLES ON PROJECTIVE SPACES IN POSITIVE CHARACTERISTICS
• Stability of syzygy bundles
• A note on stability of syzygy bundles on Enriques and bielliptic surfaces
• Stability of syzygy bundles on abelian varieties
• Syzygy bundles of non-complete linear systems: stability and rigidness
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