Face polynomials and inversion formula
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Publication:1192262
DOI10.1016/0022-4049(92)90099-2zbMath0756.13004OpenAlexW2083144921MaRDI QIDQ1192262
Publication date: 27 September 1992
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)90099-2
Polynomials over commutative rings (13B25) Morphisms of commutative rings (13B10) Automorphisms of curves (14H37)
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On relations between Jacobians and minimal polynomials ⋮ Remarks on the Jacobian conjecture ⋮ Equivalence of polynomials under automorphisms of \(K[x,y\)] ⋮ The 𝐷-resultant, singularities and the degree of unfaithfulness ⋮ A Product Formula for Minimal Polynomials and Degree Bounds for Inverses of Polynomial Automorphisms ⋮ Reconstructing birational maps from their face functions ⋮ Gröbner bases and the Nagata automorphism ⋮ Two dimensional coordinate polynomials and dominant maps ⋮ Computing minimal polynomials and the degree of unfaithfulness ⋮ Degree bounds of minimal polynomials and polynomial automorphisms
Cites Work
- On a problem about face polynomials
- An inversion formula for two polynomials in two variables
- On face polynomials
- On the inversion formula for two polynomials in two variables
- Automorphisms are determined by their face polynomials
- The Jacobian conjecture: Reduction of degree and formal expansion of the inverse