On the irreducibility of the Severi variety of nodal curves in a smooth surface

DOI10.1007/s00013-019-01349-yzbMath1430.14062arXiv1905.07116OpenAlexW2945723496MaRDI QIDQ2328642

Edoardo Ballico

Publication date: 10 October 2019

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.07116

zbMATH Keywords

\(K3\) surfacenodal curveSeveri varietyHilbert scheme of nodal curves

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Surfaces and higher-dimensional varieties (14J99) Divisors, linear systems, invertible sheaves (14C20)

Related Items (3)

Severi varieties on blow‐ups of the symmetric square of an elliptic curve ⋮ Terracini Loci and Homogeneous Spaces ⋮ Comment on: ``On the irreducibility of the Severi variety of nodal curves in a smooth surface

Cites Work

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• On universal Severi varieties of low genus \(K3\) surfaces
• Equigeneric and equisingular families of curves on surfaces
• Plane curves of minimal degree with prescribed singularities
• The adjunction theory of complex projective varieties
• Projective surfaces with \(k\)-very ample line bundles of genus \(\leq 3k+1\)
• A brief proof of a maximal rank theorem for generic double points in projective space
• Geometry of families of nodal curves on the blown-up projective plane
• Irreducibility of equisingular families of curves
• IRREDUCIBILITY OF EQUISINGULAR FAMILIES OF CURVES–IMPROVED CONDITIONS
• The universal Severi variety of rational curves on K3 surfaces
• On the irreducibility of Severi varieties on 𝐾3 surfaces
• Introduction to Singularities and Deformations
• On \(k\)th-order embeddings of \(K3\) surfaces and Enriques surfaces

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