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math.AG2026
Order and Pascal depth of Pascal finite automorphisms of the plane
Elżbieta Adamus, Zbigniew Hajto
Let be a field of characteristic . For a Pascal finite automorphism of the affine plane we show that its order is determined by its Pascal depth, $|F|=p^{\lceil\log_pτ…
math.AG2026
On the Jung-van der Kulk decomposition into Pascal finite factors
Elżbieta Adamus, Zbigniew Hajto
Combining the Jung--van der Kulk theorem with the conjugacy invariance of the Pascal finite class, we show that every polynomial automorphism of the plane over an arbitrary fie…
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…