Counting square-free monomial Cremona maps

DOI10.1007/s40863-022-00345-5arXiv2110.04874OpenAlexW3206544776WikidataQ121631029 ScholiaQ121631029MaRDI QIDQ6116632

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Publication date: 18 July 2023

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.04874

zbMATH Keywords

monomial idealgraphsbirational mapsclutterCremona maps

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Birational automorphisms, Cremona group and generalizations (14E07) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Actions of groups on commutative rings; invariant theory (13A50) Rational and birational maps (14E05) Computational aspects in algebraic geometry (14Q99) Matrices, determinants in number theory (11C20)

Cites Work

• Unnamed Item
• Quadro-quadric Cremona transformations in low dimensions via the \(JC\)-correspondence
• Cremona maps defined by monomials
• Linear syzygies and birational combinatorics
• On birational monomial transformations of plane
• Cremona transformations and some related algebras
• New constructions of Cremona maps
• The \textit{XJC}-correspondence
• Combinatorics of Cremona monomial maps
• On the monomial birational maps of the projective space
• The Newton complementary dual revisited
• Constraints for the normality of monomial subrings and birationality
• Geometry of the plane Cremona maps

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