Progress on Syzygies of Algebraic Curves
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Publication:4606256
DOI10.1007/978-3-319-59486-6_4zbMath1450.14001arXiv1703.08056OpenAlexW2606413841MaRDI QIDQ4606256
Publication date: 2 March 2018
Published in: Lecture Notes of the Unione Matematica Italiana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.08056
Families, moduli of curves (algebraic) (14H10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry (14-01) Syzygies, resolutions, complexes and commutative rings (13D02)
Related Items (4)
Universal secant bundles and syzygies of canonical curves ⋮ Generated coherent systems and a conjecture of D. C. Butler ⋮ Automorphisms and the canonical ideal ⋮ A Hurwitz divisor on the moduli of Prym curves
Uses Software
Cites Work
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- Syzygies of torsion bundles and the geometry of the level \(\ell \) modular variety over \(\overline{\mathcal{M}}_{g}\)
- Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
- Syzygies of curves and the effective cone of \(\overline{\mathcal M}_g\)
- The gonality conjecture on syzygies of algebraic curves of large degree
- The Kodaira dimension of the moduli space of Prym varieties
- Syzygies of canonical curves and special linear series
- On the projective normality of complete linear series on an algebraic curve
- Brill-Noether-Petri without degenerations
- Footnotes to a paper of Beniamino Segre. (The number of \(g^1_d\)'s on a general \(d\)-gonal curve, and the unirationality of the Hurwitz spaces of 4-gonal and 5-gonal curves)
- The resolution of paracanonical curves of odd genus
- Mirror symmetry for lattice polarized \(K3\) surfaces
- On the Kodaira dimension of the moduli space of curves
- Green's conjecture for the generic \(r\)-gonal curve of genus \(g\geq 3r-7\).
- Green's generic syzygy conjecture for curves of even genus lying on a \(K3\) surface
- Remarks on syzygies of \(d\)-gonal curves
- The Prym-Green conjecture for torsion line bundles of high order
- The generic Green-Lazarsfeld secant conjecture
- Green’s conjecture for curves on arbitrary K3 surfaces
- Koszul cohomology and applications to moduli
- A standard basis approach to syzygies of canonical curves.
- Koszul divisors on moduli spaces of curves
- Courbes tétragonales et cohomologie de Koszul.
- Deformation des Syzygies et Theorie de Brill-Noether
- New evidence for Green's conjecture on syzygies of canonical curves
- Divisors on and the minimal resolution conjecture for points on canonical curves
- Syzygies of Prym and paracanonical curves of genus 8
- The Geometry of Syzygies
- green's canonical syzygy conjecture for generic curves of odd genus
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