On a tropical version of the Jacobian conjecture
نویسندگان
چکیده
We prove that, for a tropical rational map if any point the convex hull of Jacobian matrices at smooth points in neighborhood does not contain singular then is an isomorphism. also show that polynomial on plane isomorphism all Jacobians have same sign (positive or negative). In addition, we and its preimage singleton least one regular
منابع مشابه
On the Jacobian Conjecture
The Jacobian Conjecture can be generalized and is established : Let S be a polynomial ring over a field of characteristic zero in finitely may variables. Let T be an unramified, finitely generated extension of S with T = k . Then T = S. Let k be an algebraically closed field, let k be an affine space of dimension n over k and let f : k −→ k be a morphism of algebraic varieties. Then f is given ...
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The Jacobian Conjecture can be generalized and is established : Let S be a polynomial ring over a field of characteristic zero in finitely may variables. Let T be an unramified, finitely generated extension of S with T = k. Then T = S. Let k be an algebraically closed field, let k be an affine space of dimension n over k and let f : k −→ k be a morphism of algebraic varieties. Then f is given b...
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 2022
ISSN: ['1095-855X', '0747-7171']
DOI: https://doi.org/10.1016/j.jsc.2020.07.012