Koszul modules with vanishing resonance in algebraic geometry

DOI10.1007/s00029-023-00912-4arXiv2201.00839OpenAlexW4391774064MaRDI QIDQ6201777

Claudiu Raicu, Marian Aprodu, Gavril Farkas, Jerzy Weyman

Publication date: 21 February 2024

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.00839

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) (K3) surfaces and Enriques surfaces (14J28) Families, moduli of curves (algebraic) (14H10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vanishing resonance and representations of Lie algebras
• Derivative complex, BGG correspondence, and numerical inequalities for compact Kähler manifolds
• Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
• Chen ranks and resonance
• Brill-Noether-Petri without degenerations
• The Kodaira dimension of the moduli space of curves of genus \(\geq 23\)
• Vanishing theorems on compact hermitian symmetric spaces
• The Jacobian algebra of a graded Gorenstein singularity
• On the Wahl map of curves with Brill-Noether-Petri condition
• Calculating cohomology groups of moduli spaces of curves via algebraic geometry
• Green's generic syzygy conjecture for curves of even genus lying on a \(K3\) surface
• Arithmetic group symmetry and finiteness properties of Torelli groups
• Topological invariants of groups and Koszul modules
• Mukai's program (reconstructing a \(K3\) surface from a curve) via wall-crossing
• Gaussian maps on algebraic curves
• Relations in the tautological ring of the moduli space of \(K3\) surfaces
• Koszul modules and Green's conjecture
• Topology and geometry of cohomology jump loci
• Ample vector bundles
• 3264 and All That
• Mukai's program for curves on a K3 surface
• Fano threefolds with sections in Ω¹_V (1)
• Biregular classification of Fano 3-folds and Fano manifolds of coindex 3
• On hyperplane sections of K3 surfaces
• Higher Obstructions to Deforming Cohomology Groups of Line Bundles
• The Mercat Conjecture for stable rank 2 vector bundles on generic curves
• Quadric ramk loci on moduli of curves and K3 surfaces
• Stabilization of the cohomology of thickenings
• Chen Lie algebras
• green's canonical syzygy conjecture for generic curves of odd genus

This page was built for publication: Koszul modules with vanishing resonance in algebraic geometry