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Tame automorphisms with multidegrees in the form of arithmetic progressions

In: Mathematica Slovaca, vol. 65, no. 6
Jiantao Li - Xiankun Du

Details:

Year, pages: 2015, 1261 - 1270
Keywords:
tame automorphism, multidegree, elementary reduction, arithmetic progression
About article:
Let $(a,a+d,a+2d)$ be an arithmetic progression of positive integers. The following statements are proved: (1) If $a\mid 2d$, then $(a, a+d, a+2d)\in mdeg(Tame(\mathbb{C}3))$. (2) If $a\nmid 2d$ and $(a, a+d, a+2d)\notin \{(4i,5i,6i), (4i,7i,10i): i\in \mathbb{N}+\}$, then $(a, a+d, a+2d)\notin mdeg(Tame(\mathbb{C}3))$.
How to cite:
ISO 690:
Li, J., Du, X. 2015. Tame automorphisms with multidegrees in the form of arithmetic progressions. In Mathematica Slovaca, vol. 65, no.6, pp. 1261-1270. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0087

APA:
Li, J., Du, X. (2015). Tame automorphisms with multidegrees in the form of arithmetic progressions. Mathematica Slovaca, 65(6), 1261-1270. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0087
About edition:
Published: 1. 12. 2015