SOME RESULTS OF REGULARITY FOR SEVERI VARIETIES OF PROJECTIVE SURFACES

DOI10.1081/AGB-100002389zbMath1064.14025arXivmath/0004130MaRDI QIDQ2747143

Flaminio Flamini

Publication date: 2001

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0004130

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Divisors, linear systems, invertible sheaves (14C20) Singularities of curves, local rings (14H20)

Related Items (9)

Moduli of nodal curves on smooth surfaces of general type ⋮ SINGULAR CURVES ON A K3 SURFACE AND LINEAR SERIES ON THEIR NORMALIZATIONS ⋮ On families of rational curves in the Hilbert square of a surface ⋮ Uniruledness of strata of holomorphic differentials in small genus ⋮ A Note on Severi Varieties of Nodal Curves on Enriques Surfaces ⋮ Nodal Curves with General Moduli onK3 Surfaces ⋮ Irreducibility of equisingular families of curves ⋮ Degeneration of differentials and moduli of nodal curves on 𝐾3 surfaces ⋮ Remarks on families of singular curves with hyperelliptic normalizations

Cites Work

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• On the existence of certain families of curves
• On the Severi problem
• Vector bundles of rank 2 and linear systems on algebraic surfaces
• Residues and zero-cycles on algebraic varieties
• Nodal curves on surfaces of general type
• Counting plane curves of any genus
• Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
• HOLOMORPHIC TENSORS AND VECTOR BUNDLES ON PROJECTIVE VARIETIES
• Geometry of families of nodal curves on the blown-up projective plane

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