On higher-order weierstrass points and the finiteness of the automorphism group.

Arnaldo Garcia

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Remarks on fixed points of automorphisms and higher-order Weierstrass points in prime characteristic.

Arnaldo Garcia (1990)

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Automorphism Groups of Fields.

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Tame Automorphisms of ℂ³ with Multidegree of the Form (p₁,p₂,d₃)

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Bulletin of the Polish Academy of Sciences. Mathematics

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Let d₃ ≥ p₂ > p₁ ≥ 3 be integers such that p₁,p₂ are prime numbers. We show that the sequence (p₁,p₂,d₃) is the multidegree of some tame automorphism of ℂ³ if and only if d₃ ∈ p₁ℕ + p₂ℕ, i.e. if and only if d₃ is a linear combination of p₁ and p₂ with coefficients in ℕ.