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Progress on Syzygies of Algebraic Curves (Q4606256)

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scientific article; zbMATH DE number 6846364

Language	Label	Description	Also known as
English	Progress on Syzygies of Algebraic Curves	scientific article; zbMATH DE number 6846364

Statements

scholarly article

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Progress on Syzygies of Algebraic Curves (English)

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Lecture Notes of the Unione Matematica Italiana

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publication date

2 March 2018

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full work available at URL

https://arxiv.org/abs/1703.08056

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describes a project that uses

KoszulDivisorOnPic14M8

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MaRDI profile type

MaRDI publication profile

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Remarks on syzygies of \(d\)-gonal curves

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Green’s conjecture for curves on arbitrary <i>K</i>3 surfaces

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Koszul cohomology and applications to moduli

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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)

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Syzygies of torsion bundles and the geometry of the level \(\ell \) modular variety over \(\overline{\mathcal{M}}_{g}\)

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Syzygies of Prym and paracanonical curves of genus 8

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Mirror symmetry for lattice polarized \(K3\) surfaces

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The gonality conjecture on syzygies of algebraic curves of large degree

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The Geometry of Syzygies

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Syzygies of curves and the effective cone of \(\overline{\mathcal M}_g\)

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Koszul divisors on moduli spaces of curves

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The generic Green-Lazarsfeld secant conjecture

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The Prym-Green conjecture for torsion line bundles of high order

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The resolution of paracanonical curves of odd genus

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The Kodaira dimension of the moduli space of Prym varieties

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Divisors on and the minimal resolution conjecture for points on canonical curves

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Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)

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On the projective normality of complete linear series on an algebraic curve

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On the Kodaira dimension of the moduli space of curves

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New evidence for Green's conjecture on syzygies of canonical curves

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Brill-Noether-Petri without degenerations

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Syzygies of canonical curves and special linear series

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A standard basis approach to syzygies of canonical curves.

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Green's conjecture for the generic \(r\)-gonal curve of genus \(g\geq 3r-7\).

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Courbes tétragonales et cohomologie de Koszul.

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Deformation des Syzygies et Theorie de Brill-Noether

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Green's generic syzygy conjecture for curves of even genus lying on a \(K3\) surface

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green's canonical syzygy conjecture for generic curves of odd genus

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Identifiers

zbMATH Open document ID

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10.1007/978-3-319-59486-6_4

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4606256

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