Automorphisms from face polynomials via two Gröbner bases

DOI10.1016/0022-4049(92)90010-DzbMath0805.13009OpenAlexW2002345180MaRDI QIDQ1207520

Michal Kwienciński

Publication date: 1 April 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)90010-d

zbMATH Keywords

Gröbner basisface polynomialsinverse of polynomial automorphism

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Automorphisms of curves (14H37)

Related Items

On the reconstruction of polynomial automorphisms from their face polynomials

Cites Work

• On a problem about face polynomials
• The theory of Gröbner bases
• A resultant criterion and formula for the inversion of a polynomial map in two variables
• An inversion formula for two polynomials in two variables
• On face polynomials
• On the inversion formula for two polynomials in two variables
• A Gröbner basis criterion for isomorphisms of algebraic varieties
• On the reconstruction of polynomial automorphisms from their face polynomials
• A criterion to decide if a polynomial map is invertible and to compute the inverse
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