De Jonquières transformations in arbitrary dimension. An ideal theoretic view

DOI10.1080/00927872.2022.2057519zbMath1492.14017arXiv2109.10479OpenAlexW3199249644MaRDI QIDQ5085199

Zaqueu Ramos, Aaron Simis

Publication date: 27 June 2022

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

Full work available at URL: https://arxiv.org/abs/2109.10479

zbMATH Keywords

free resolutionCohen-MacaulayCremona mapDe Jonquières blowupdowngraded form

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Graded rings (13A02) Rational and birational maps (14E05) Syzygies, resolutions, complexes and commutative rings (13D02) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Cohen-Macaulay modules (13C14) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Cites Work

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• On a conjecture of Vasconcelos via Sylvester forms
• Implicitization of de Jonquières parametrizations
• A characteristic-free criterion of birationality
• Minimal generators of the defining ideal of the Rees algebra associated to monoid parameterizations
• Row ideals and fibers of morphisms
• Plane Cremona maps: saturation and regularity of the base ideal
• Cremona transformations and some related algebras
• On the homology of two-dimensional elimination
• The ubiquity of Sylvester forms in almost complete intersections
• Les transformations de Cremona stellaires
• BLOWUPS AND FIBERS OF MORPHISMS
• Commutative Algebra
• Cremona Maps of de Jonquières Type

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