HALF NIKULIN SURFACES AND MODULI OF PRYM CURVES

DOI10.1017/S1474748019000574zbMath1473.14072arXiv1708.07339OpenAlexW3103493899MaRDI QIDQ3383319

Margherita Lelli-Chiesa, Alessandro Verra, Andreas Leopold Knutsen

Publication date: 23 September 2021

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.07339

zbMATH Keywords

\(K3\) surfacesdegenerationsNikulin surfacesPrym curves

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Families, moduli of curves (algebraic) (14H10) Fibrations, degenerations in algebraic geometry (14D06)

Related Items (3)

Views on level \(\ell\) curves, \(K3\) surfaces and Fano threefolds ⋮ A note on Nikulin surfaces and their moduli spaces ⋮ Curves on surfaces with trivial canonical bundle

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Explicit Brill-Noether-Petri general curves
• Moduli of theta-characteristics via Nikulin surfaces
• Moduli of nodal curves on \(K3\) surfaces
• Special divisors on curves on a K3 surface
• On the Noether-Lefschetz theorem and some remarks on codimension-two cycles
• A new proof of the global Torelli theorem for K3 surfaces
• Nikulin involutions on \(K3\) surfaces
• Global smoothings of varieties with normal crossings
• Brill-Noether-Petri without degenerations
• The Jacobian algebra of a graded Gorenstein singularity
• Degeneration of surfaces with trivial canonical bundle
• Enriques surfaces. I
• Projective degenerations of \(K3\) surfaces, Gaussian maps, and Fano threefolds
• Curves on surfaces with trivial canonical bundle
• Mirror symmetry for lattice polarized \(K3\) surfaces
• Green's generic syzygy conjecture for curves of even genus lying on a \(K3\) surface
• \(K3\) projective models in scrolls
• Rank-two vector bundles on Halphen surfaces and the Gauss-Wahl map for du Val curves
• Mukai's program (reconstructing a \(K3\) surface from a curve) via wall-crossing
• On the existence of curves with \(A_k\)-singularities on \(K3\) surfaces
• Degenerating curves and surfaces: first results
• On \(k\)-gonal loci in Severi varieties on general \(K3\) surfaces and rational curves on hyperkähler manifolds
• The Prym-Green conjecture for torsion line bundles of high order
• An inequality of Clifford indices for a finite covering of curves
• Geometry of Genus 8 Nikulin Surfaces and Rationality of their Moduli
• Green's conjecture for general covers
• Green’s conjecture for curves on arbitrary K3 surfaces
• Mukai's program for curves on a K3 surface
• Deformations of Algebraic Schemes
• Projective models of K3 surfaces with an even set
• Projective Models of K - 3 Surfaces
• DEGENERATIONS OFK3 SURFACES AND ENRIQUES SURFACES
• On Cohomology of the Square of an Ideal Sheaf
• On hyperplane sections of K3 surfaces
• Effective divisors on \overline{ℳ}_{ℊ}, curves on 𝒦3 surfaces, and the slope conjecture
• Moduli of non-standard Nikulin surfaces in low genus
• green's canonical syzygy conjecture for generic curves of odd genus
• On \(k\)th-order embeddings of \(K3\) surfaces and Enriques surfaces

This page was built for publication: HALF NIKULIN SURFACES AND MODULI OF PRYM CURVES