Blowing up determinantal space curves and varieties of codim 2(∗)

DOI10.1080/00927879908826486zbMath0963.14024arXivalg-geom/9612014OpenAlexW2591839910MaRDI QIDQ4236929

Anna Lorenzini, Alessandro Gimigliano

Publication date: 5 May 1999

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

Full work available at URL: https://arxiv.org/abs/alg-geom/9612014

zbMATH Keywords

blow-upFano varietiesminimal resolutionHilbert functiondeterminantal varietiesexceptional divisor

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Determinantal varieties (14M12) Plane and space curves (14H50) Low codimension problems in algebraic geometry (14M07)

Related Items

Floer cohomology and pencils of quadrics ⋮ BLOWING UP PROJECTIVELY NORMAL SPACE CURVES AND VERY AMPLE DIVISORS

Cites Work

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• The ideal of forms vanishing at a finite set of points in \({\mathbb{P}}^ n\)
• Generators for the defining ideal of certain rational surfaces
• Betti numbers of perfect homogeneous ideals
• Complexes associated with trace and evaluation. Another approach to Lascoux's resolution
• Birational morphisms to \({\mathbb{P}}^ 2:\) An ideal-theoretic perspective
• Liaison des variétés algébriques. I
• Syzygies des variétés déterminantales
• The minimal resolution conjecture
• Generic determinantal schemes and the smoothability of determinantal schemes of codimension 2
• Projectively normal but superabundant embeddings of rational surfaces in projective space
• The diagonal subalgebra of a blow-up algebra
• A note on the Hilbert functions of certain ideals which are defined by matrices
• On the Ideal of Veronesean Surfaces