Non-special scrolls with general moduli

DOI10.1007/s12215-008-0001-zzbMath1222.14082arXiv0712.2105OpenAlexW1964500837MaRDI QIDQ931333

Flaminio Flamini, Ciro Ciliberto, Rick Miranda, Alberto Calabri

Publication date: 25 June 2008

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.2105

zbMATH Keywords

ruled surfacesmoduliembedded degenerationsHilbert schemes of scrolls

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Fibrations, degenerations in algebraic geometry (14D06) Vector bundles on curves and their moduli (14H60) Divisors, linear systems, invertible sheaves (14C20)

Related Items (9)

Hilbert scheme of some threefold scrolls over the Hirzebruch surface \({\mathbb F}_1\) ⋮ On Some Components of Hilbert Schemes of Curves ⋮ Pasquale del Pezzo, Duke of Caianello, Neapolitan mathematician ⋮ Hilbert schemes of some threefold scrolls over \(\mathbb{F}_{e}\) ⋮ Components of the Hilbert scheme of smooth projective curves using ruled surfaces ⋮ \({\mathbb P^r}\)-scrolls arising from Brill-Noether theory and \(K3\)-surfaces ⋮ Skew-symmetric matrices and Palatini scrolls ⋮ Brill-Noether theory and non-special scrolls ⋮ Quot schemes, Segre invariants, and inflectional loci of scrolls over curves

Cites Work

• Brill-Noether theory and non-special scrolls
• Quelques résultats de Corrado Segre sur les surfaces reglées
• Vector bundles on complex projective spaces
• Lectures on introduction to moduli problems and orbit spaces
• Projective degenerations of \(K3\) surfaces, Gaussian maps, and Fano threefolds
• Semistable bundles over an elliptic curve
• The irregularity of ruled surfaces in \(\mathbb{P}^3\)
• Degenerations of scrolls to unions of planes
• Deformations of Algebraic Schemes
• Remarks on the Obstructedness of Cones Over Curves of Low Genus
• Varieties of maximal line subbundles
• Canonical geometrically ruled surfaces
• Note on the structure of a ruled surface.
• On Self-Intersection Number of a Section on a Ruled Surface
• Varieties Defined by Quadratic Equations
• Symmetric Products and Jacobians
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