Wild Multidegrees of the Form (d,d₂,d₃) for Fixed d≥3

• Autorzy: Karaś M. , Zygadło J.

Identyfikatory

DOI

10.4064/ba60-3-2

• Języki publikacji: EN

Abstrakty

EN

Let d be any integer greater than or equal to 3. We show that the intersection of the set mdeg(Aut(C³))∖mdeg(Tame(C³)) with {(d₁,d₂,d₃)∈(N+)³:d=d₁≤d₂≤d₃} has infinitely many elements, where mdegh=(degh1,…,deghn) denotes the multidegree of a polynomial mapping h=(h₁,…,h_n):Cⁿ→Cⁿ. In other words, we show that there are infinitely many wild multidegrees of the form (d,d₂,d₃), with fixed d≥3 and d≤d₂≤d₃, where a sequence (d₁,…,d_n)∈Nn is a wild multidegree if there is a polynomial automorphism F of Cⁿ with mdegF=(d₁,…,d_n), and there is no tame automorphism of Cⁿ with the same multidegree.

Słowa kluczowe

EN

polynomial automorphism; tame automorphism; wild automorphism; multidegree

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2012
• Tom: Vol. 60, no 3
• Strony: 211--218
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Karaś M.

• Instytut Matematyki Wydział Matematyki i Informatyki Uniwersytet Jagiellonski Łojasiewicza 6 30-348 Kraków, Poland

autor

Zygadło J.

• Instytut Informatyki Wydział Matematyki i Informatyki Uniwersytet Jagiellonski Łojasiewicza 6 30-348 Kraków, Poland

Bibliografia

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