A Gröbner basis criterion for isomorphisms of algebraic varieties

DOI10.1016/0022-4049(91)90117-KzbMath0754.13021OpenAlexW2066142925MaRDI QIDQ1181461

Michal Kwienciński

Publication date: 27 June 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(91)90117-k

zbMATH Keywords

Gröbner basescomputing the inverse of a polynomialimage of an algebraic set

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Polynomials over commutative rings (13B25) Automorphisms of curves (14H37)

Related Items

A Gröbner basis criterion for birational equivalence of affine varieties ⋮ TEST OF EPIMORPHISM FOR FINITELY GENERATED MORPHISMS BETWEEN AFFINE ALGEBRAS OVER COMPUTATIONAL RINGS ⋮ On the reconstruction of polynomial automorphisms from their face polynomials ⋮ Automorphisms from face polynomials via two Gröbner bases

Cites Work

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• The theory of Gröbner bases
• Using Gröbner bases to determine algebra membership, split surjective algebra homomorphisms determine birational equivalence
• A criterion to decide if a polynomial map is invertible and to compute the inverse