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math.AG2019★ 1 cited
Jacobian Conjecture via Differential Galois Theory
Elzbieta Adamus, Teresa Crespo, Zbigniew Hajto
We prove that a polynomial map is invertible if and only if some associated differential ring homomorphism is bijective. To this end, we use a theorem of Crespo and Hajto linking t…
math.AG2012★ 2 cited
Real Picard-Vessiot theory
Teresa Crespo, Zbigniew Hajto, Elzbieta Sowa
The existence of a Picard-Vessiot extension for a homogeneous linear differential equation has been established when the differential field over which the equation is defined has a…