Linear syzygies and birational combinatorics

DOI10.1007/BF03323372zbMath1107.13025arXivmath/0505159OpenAlexW2156114253MaRDI QIDQ860146

Rafael H. Villarreal, Aaron Simis

Publication date: 23 January 2007

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505159

zbMATH Keywords

Jacobian matrixCremona transformationbirational mapmonomial subring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Birational automorphisms, Cremona group and generalizations (14E07) Integral closure of commutative rings and ideals (13B22) Rational and birational maps (14E05) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (7)

Combinatorics of Cremona monomial maps ⋮ A characteristic-free criterion of birationality ⋮ Counting square-free monomial Cremona maps ⋮ Plane Cremona maps: saturation and regularity of the base ideal ⋮ Cremona maps defined by monomials ⋮ Polar syzygies in characteristic zero: The monomial case ⋮ Homaloidal nets and ideals of fat points I

Cites Work

• Ideals of fiber type and polymatroids
• Gorenstein algebras of Veronese type
• Castelnuovo-Mumford regularity of products of ideals
• Discrete polymatroids
• Cremona transformations and some related algebras
• On the jacobian module associated to a graph
• On the monomial birational maps of the projective space
• Constraints for the normality of monomial subrings and birationality
• Rees algebras of edge ideals
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