Plane Cremona maps: saturation and regularity of the base ideal

DOI10.1016/j.jalgebra.2012.08.022zbMath1275.13019arXiv1109.2815OpenAlexW2963114443MaRDI QIDQ1952161

Aaron Simis, Seyed Hamid Hassanzadeh

Publication date: 27 May 2013

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

Full work available at URL: https://arxiv.org/abs/1109.2815

zbMATH Keywords

regularityfree resolutionsaturationde Jonquières mapCremona map

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Rational and birational maps (14E05) Syzygies, resolutions, complexes and commutative rings (13D02) Local cohomology and commutative rings (13D45)

Related Items (21)

Jacobian syzygies, fitting ideals, and plane curves with maximal global Tjurina numbers ⋮ De Jonquières transformations in arbitrary dimension. An ideal theoretic view ⋮ Semialgebraic splines ⋮ Multiplicity of the saturated special fiber ring of height three Gorenstein ideals ⋮ Homaloidal nets and ideals of fat points II: Subhomaloidal nets ⋮ Implicitization of de Jonquières parametrizations ⋮ A study of nonlinear multiview varieties ⋮ On the Hilbert vector of the Jacobian module of a plane curve ⋮ Numerical invariants and moduli spaces for line arrangements ⋮ On 3-syzygy and unexpected plane curves ⋮ Effective criteria for bigraded birational maps ⋮ Bounds on degrees of birational maps with arithmetically Cohen-Macaulay graphs ⋮ A theorem about Cremona maps and symbolic Rees algebras ⋮ Homology of homogeneous divisors ⋮ Multiplicity of the saturated special fiber ring of height two perfect ideals ⋮ The ubiquity of Sylvester forms in almost complete intersections ⋮ Homaloidal nets and ideals of fat points I ⋮ Addition-deletion results for the minimal degree of logarithmic derivations of hyperplane arrangements and maximal Tjurina line arrangements ⋮ Saturation of Jacobian ideals: some applications to nearly free curves, line arrangements and rational cuspidal plane curves ⋮ Plane curves with three syzygies, minimal Tjurina curves, and nearly cuspidal curves ⋮ Addition-deletion results for the minimal degree of a Jacobian syzygy of a union of two curves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A characteristic-free criterion of birationality
• Cremona maps defined by monomials
• Linear syzygies and birational combinatorics
• Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian
• Normal polytopes arising from finite graphs
• The integral closure of subrings associated to graphs
• Cremona transformations and some related algebras
• Cremona transformations and special double structures
• On the homology of two-dimensional elimination
• Combinatorics of Cremona monomial maps
• The Syzygies of the Conormal Module
• [https://portal.mardi4nfdi.de/wiki/Publication:4248035 Une remarque sur la g�n�ration du groupe de Cremona]
• An Algorithm for Fat Points on P²
• Integral Closures of Cohen-Macaulay Monomial Ideals
• Constraints for the normality of monomial subrings and birationality
• Sur le multidegré des transformations de Cremona
• Maps of linear systems on blow-ups of the projective plane.
• Geometry of the plane Cremona maps

This page was built for publication: Plane Cremona maps: saturation and regularity of the base ideal