A system of polynomial equations related to the Jacobian Conjecture

Fuente: arXiv
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Auteurs principaux: Guccione, Jorge A., Guccione, Juan José, Valqui, Christian
Format: Preprint
Publié: 2014
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author Guccione, Jorge A.
Guccione, Juan José
Valqui, Christian
author_facet Guccione, Jorge A.
Guccione, Juan José
Valqui, Christian
contents We prove that the Jacobian conjecture is false if and only if there exists a solution to a certain system of polynomial equations. We analyse the solution set of this system. In particular we prove that it is zero dimensional.
format Preprint
id arxiv_https___arxiv_org_abs_1406_0886
institution arXiv
publishDate 2014
record_format arxiv
spellingShingle A system of polynomial equations related to the Jacobian Conjecture
Guccione, Jorge A.
Guccione, Juan José
Valqui, Christian
Algebraic Geometry
Commutative Algebra
14R15
We prove that the Jacobian conjecture is false if and only if there exists a solution to a certain system of polynomial equations. We analyse the solution set of this system. In particular we prove that it is zero dimensional.
title A system of polynomial equations related to the Jacobian Conjecture
topic Algebraic Geometry
Commutative Algebra
14R15
url https://arxiv.org/abs/1406.0886