On universal Severi varieties of low genus \(K3\) surfaces

DOI10.1007/s00209-011-0898-3zbMath1252.14033arXiv1009.3360OpenAlexW1977706889MaRDI QIDQ444194

Ciro Ciliberto, Thomas Dedieu

Publication date: 13 August 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.3360

zbMATH Keywords

nodal curves

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Projective techniques in algebraic geometry (14N05)

Related Items (10)

Monodromy of rational curves on \(K3\) surfaces of low genus ⋮ Uniruledness of strata of holomorphic differentials in small genus ⋮ ON THE MONODROMY AND GALOIS GROUP OF CONICS LYING ON HEISENBERG INVARIANT QUARTIC K3 SURFACES ⋮ A note on the Severi problem for toric surfaces ⋮ The geometry of the moduli space of odd spin curves ⋮ Moduli of nodal curves on \(K3\) surfaces ⋮ The Severi problem for abelian surfaces in the primitive case ⋮ On the irreducibility of Severi varieties on 𝐾3 surfaces ⋮ On the irreducibility of the Severi variety of nodal curves in a smooth surface ⋮ Limits of Pluri–Tangent Planes to Quartic Surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The canonical model of a singular curve
• On the Severi problem
• The Jacobian algebra of a graded Gorenstein singularity
• Sections hyperplanes des surfaces K3
• Projective degenerations of \(K3\) surfaces, Gaussian maps, and Fano threefolds
• On the Gaussian map for canonical curves of low genus
• Graph curves. Appendix: Homoliferous connectivity of graph curves by Sung Won Park
• BPS states, string duality, and nodal curves on \(K3\)
• Counting rational curves on \(K3\) surfaces
• Equivalence relations on algebraic curves
• A standard basis approach to syzygies of canonical curves.
• Deformations of Algebraic Schemes
• Nodal Curves with General Moduli onK3 Surfaces
• The irreducibility of the spaces of rational curves on del Pezzo surfaces
• Classification of varieties with canonical curve section via Gaussian maps on canonical curves
• Projective Models of K - 3 Surfaces
• On Severi Varieties on Hirzebruch Surfaces
• Families of K-3 Surfaces
• SEVERI VARIETIES AND SELF-RATIONAL MAPS OF K3 SURFACES

This page was built for publication: On universal Severi varieties of low genus \(K3\) surfaces