Some linear syzygy conjectures
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Publication:1179964
DOI10.1016/0001-8708(91)90019-4zbMath0754.13012OpenAlexW2109792732WikidataQ122961226 ScholiaQ122961226MaRDI QIDQ1179964
Publication date: 27 June 1992
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0001-8708(91)90019-4
TorSchubert calculusKoszul complexgraded minimal free resolutionGreen's vanishing theoremlinear syzygy conjectures
Grassmannians, Schubert varieties, flag manifolds (14M15) Syzygies, resolutions, complexes and commutative rings (13D02)
Related Items
Bounds for Betti numbers, Arithmetically Buchsbaum divisors on varieties of minimal degree, On graded Betti numbers and geometrical properties of projective varieties, Lower Bounds on Betti Numbers, Graded Betti numbers of some embedded rational \(n\)-folds, Graded Cohen-Macaulay domains and lattice polytopes with short \(h\)-vector, A generalization of the strong Castelnuovo lemma, Betti Numbers of ℤn-Graded Modules, Stillman's question for exterior algebras and Herzog's conjecture on Betti numbers of syzygy modules
Cites Work
- Linear free resolutions and minimal multiplicity
- Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
- Linear syzygies and line bundles on an algebraic curve
- Syzygies of canonical curves and special linear series
- On the projective normality of complete linear series on an algebraic curve
- Approximation complexes of blowing-up rings
- Nets of alternating matrices and the linear syzygy conjectures
- Linear Sections of Determinantal Varieties
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