A resultant criterion and formula for the inversion of a rational map in two variables

DOI10.1016/0022-4049(92)90122-VzbMath0763.14003OpenAlexW4239702337MaRDI QIDQ1196788

Kossivi Adjamagbo, Pierre Boury

Publication date: 16 January 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(92)90122-v

zbMATH Keywords

inverse of polynomial mappingsresultant criterion of birationality of rational mapping

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Rational and birational maps (14E05)

Related Items (1)

ON RESULTANT CRITERIA AND FORMULAS FOR THE INVERSION OF A POLYNOMIAL MAP

Cites Work

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• A resultant criterion and formula for the inversion of a polynomial map in two variables
• An inversion formula for two polynomials in two variables
• Using Gröbner bases to determine algebra membership, split surjective algebra homomorphisms determine birational equivalence
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• A criterion to decide if a polynomial map is invertible and to compute the inverse

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