On the Hilbert scheme of Palatini threefolds

DOI10.1515/advg.2002.017zbMath1054.14052arXivmath/0204259OpenAlexW2160553495MaRDI QIDQ4785510

Maria Lucia Fania, Emilia Mezzetti

Publication date: 2 January 2003

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0204259

zbMATH Keywords

linear systemHilbert schemesecant varietyGrassmannian degeneracy locusPalatini scrollwebs of linear complexes

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) (3)-folds (14J30) Varieties of low degree (14N25) Low codimension problems in algebraic geometry (14M07) Adjunction problems (14N30)

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Geometry of Lines and Degeneracy Loci of Morphisms of Vector Bundles ⋮ Hilbert scheme of some threefold scrolls over the Hirzebruch surface \({\mathbb F}_1\) ⋮ Erratum to “On the Hilbert scheme of Palatini threefolds” ⋮ Hilbert schemes of some threefold scrolls over \(\mathbb{F}_{e}\) ⋮ Pfaffian representations of cubic surfaces ⋮ Pfaffian bundles on cubic surfaces and configurations of planes ⋮ Degeneracy loci of twisted differential forms and linear line complexes ⋮ The Dimension of the Hilbert Scheme of Special Threefolds^# ⋮ Congruences of lines in \({{\mathbb P}^5}\), quadratic normality, and completely exceptional Monge-Ampère equations ⋮ On linear spaces of skew-symmetric matrices of constant rank ⋮ Skew-symmetric matrices and Palatini scrolls ⋮ On the Hilbert scheme of degeneracy loci of twisted differential forms

Cites Work

• Sur le schéma de Hilbert des variétés de codimension $2$ dans $\mathbf{P}^e$ à cône de Cohen-Macaulay
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