Koszul modules and Green's conjecture

DOI10.1007/s00222-019-00894-1zbMath1430.14074arXiv1810.11635OpenAlexW3106181326WikidataQ123246901 ScholiaQ123246901MaRDI QIDQ2334538

Jerzy Weyman, Claudiu Raicu, Gavril Farkas, Marian Aprodu, Stefan Papadima

Publication date: 7 November 2019

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.11635

zbMATH Keywords

rational normal curvecanonical curveKoszul moduleGreen's conjecture

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Curves in algebraic geometry (14H99)

Related Items (17)

Bi-graded Koszul modules, K3 carpets, and Green's conjecture ⋮ Modular plethystic isomorphisms for two-dimensional linear groups ⋮ Subadditivity of Syzygies of Ideals and Related Problems ⋮ Hermite Reciprocity and Schwarzenberger Bundles ⋮ Topological invariants of groups and Koszul modules ⋮ Curves in projective spaces: questions and remarks ⋮ Universal secant bundles and syzygies of canonical curves ⋮ Asymptotic vanishing of syzygies of algebraic varieties ⋮ Koszul modules of Kac-Moody Lie algebras ⋮ Syzygies over a polynomial ring ⋮ Cohomology of line bundles on the incidence correspondence ⋮ Effective divisors on projectivized Hodge bundles and modular Forms ⋮ Koszul modules with vanishing resonance in algebraic geometry ⋮ MFO-RIMS tandem workshop: Symmetries on polynomial ideals and varieties. Abstracts from the MFO-RIMS tandem workshop held September 5--11, 2021 (hybrid meeting) ⋮ Tangent developable surfaces and the equations defining algebraic curves ⋮ Koszul modules and Green's conjecture ⋮ Koszul Modules

Uses Software

• K3Carpets

Cites Work

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• Vanishing resonance and representations of Lie algebras
• Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
• The gonality conjecture on syzygies of algebraic curves of large degree
• Syzygies of canonical curves and special linear series
• Limit linear series: Basic theory
• Generalized divisors on Gorenstein curves and a theorem of Noether
• Schur functors and Schur complexes
• Green's generic syzygy conjecture for curves of even genus lying on a \(K3\) surface
• Equations and syzygies of \(K3\) carpets and unions of scrolls
• Gaussian maps on algebraic curves
• Koszul modules and Green's conjecture
• Topology and geometry of cohomology jump loci
• Modular compactifications of the space of pointed elliptic curves I
• A Version of Green’s Conjecture in Positive Characteristic
• Koszul divisors on moduli spaces of curves
• On the Tangentially Degenerate Curves
• Normal bundles of rational curves on complete intersections
• The Geometry of Syzygies
• Higher Obstructions to Deforming Cohomology Groups of Line Bundles
• Log canonical models for the moduli space of curves: The first divisorial contraction
• green's canonical syzygy conjecture for generic curves of odd genus

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