Tame Automorphisms of ℂ³ with Multidegree of the Form (p₁,p₂,d₃)
Bulletin of the Polish Academy of Sciences. Mathematics (2011)
- Volume: 59, Issue: 1, page 27-32
- ISSN: 0239-7269
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topMarek Karaś. "Tame Automorphisms of ℂ³ with Multidegree of the Form (p₁,p₂,d₃)." Bulletin of the Polish Academy of Sciences. Mathematics 59.1 (2011): 27-32. <http://eudml.org/doc/286599>.
@article{MarekKaraś2011,
abstract = {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.},
author = {Marek Karaś},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {polynomial automorphism; tame automorphism; multidegree},
language = {eng},
number = {1},
pages = {27-32},
title = {Tame Automorphisms of ℂ³ with Multidegree of the Form (p₁,p₂,d₃)},
url = {http://eudml.org/doc/286599},
volume = {59},
year = {2011},
}
TY - JOUR
AU - Marek Karaś
TI - Tame Automorphisms of ℂ³ with Multidegree of the Form (p₁,p₂,d₃)
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2011
VL - 59
IS - 1
SP - 27
EP - 32
AB - 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.
LA - eng
KW - polynomial automorphism; tame automorphism; multidegree
UR - http://eudml.org/doc/286599
ER -
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