On Rational Varieties Smooth Except at a Seminormal Singular Point

DOI10.1080/00927870903527485zbMath1242.14048OpenAlexW2043820577MaRDI QIDQ2881044

Luciana Ramella, Francesca Cioffi, Ferruccio Orecchia

Publication date: 3 April 2012

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

Full work available at URL: https://doi.org/10.1080/00927870903527485

zbMATH Keywords

Hilbert functionrational varietiesbranchesseminormality

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Singularities in algebraic geometry (14B05) Rational and unirational varieties (14M20)

Related Items (1)

From grids to pseudo-grids of lines: Resolution and seminormality

Uses Software

• Points
• QPoints

Cites Work

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• Regularity bounds by minimal generators and Hilbert function
• Birational morphisms to \({\mathbb{P}}^ 2:\) An ideal-theoretic perspective
• Minimally generating ideals defining certain tangent cones
• Some non special projective embeddings of rational surfaces
• Gale duality and free resolutions of ideals of points
• Computation of Hilbert-Poincaré series
• Saturation theory and very ample Hilbert functions
• Maximal rank and minimal generation of some parametric varieties.
• Reduced Tangent Cones and Conductor at Multiplanar Isolated Singularities
• On certain classes of curve singulariries with reduced tangent cone
• Implicitization of a general union of parametric varieties

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