Combinatorics of Cremona monomial maps

DOI10.1090/S0025-5718-2011-02556-1zbMath1259.14010arXiv0904.4065OpenAlexW2963910001MaRDI QIDQ2894537

Rafael H. Villarreal, Aaron Simis

Publication date: 29 June 2012

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.4065

zbMATH Keywords

projective spaceCremona groupbirational mapsmonomial maps

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Rational and birational maps (14E05) Matrices of integers (15B36) Stochastic matrices (15B51)

Related Items (9)

Monomial Cremona transformations and toric polar maps ⋮ Degenerations of the generic square matrix, the polar map and the determinantal structure ⋮ A characteristic-free criterion of birationality ⋮ Counting square-free monomial Cremona maps ⋮ Homaloidal determinants ⋮ Plane Cremona maps: saturation and regularity of the base ideal ⋮ Cremona maps defined by monomials ⋮ A theorem about Cremona maps and symbolic Rees algebras ⋮ Homaloidal nets and ideals of fat points I

Uses Software

• Normaliz

Cites Work

• Unnamed Item
• Cremona maps defined by monomials
• Linear syzygies and birational combinatorics
• On birational monomial transformations of plane
• Cremona transformations and some related algebras
• Combinatorial designs and related systems
• Combinatorial Optimization
• On the monomial birational maps of the projective space
• Constraints for the normality of monomial subrings and birationality
• Geometry of the plane Cremona maps

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