Tame Automorphisms of $\Bbb{C}^{3}$ with Multidegree of the Form $(p_{1},p_{2},d_{3})$
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011) no. 1, pp. 27-32
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
Let $d_{3}\geq p_{2}>p_{1}\geq 3$ be integers such that $p_{1},p_{2}$ are
prime numbers. We show that the sequence $(p_{1},p_{2},d_{3})$
is the multidegree of some tame automorphism of $\mathbb{C}^{3}$ if and only
if $d_{3}\in p_{1}\Bbb{N}+p_{2}\Bbb{N},$ i.e. if and only if $d_{3}$ is a
linear combination of $p_{1}$ and $p_{2}$ with coefficients in $\mathbb{N}.$
Keywords:
geq geq integers prime numbers sequence multidegree tame automorphism mathbb only bbb bbb only linear combination coefficients nbsp mathbb
Affiliations des auteurs :
Marek Karaś 1
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title = {Tame {Automorphisms} of $\Bbb{C}^{3}$ with {Multidegree} of the {Form} $(p_{1},p_{2},d_{3})$},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
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Marek Karaś. Tame Automorphisms of $\Bbb{C}^{3}$ with Multidegree of the Form $(p_{1},p_{2},d_{3})$. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011) no. 1, pp. 27-32. doi: 10.4064/ba59-1-4
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