Tame automorphisms of C^3 with multidegree of the form (3,d_2,d_3)

Details Tame automorphisms of C^3 with multidegree of the form (3,d_2,d_3) Tame automorphisms of C^3 with multidegree of the form (3,d_2,d_3)

2009-05-05

arxiv.org/abs/0905.0599v1

J. Pure Appl. Algebra 214, No. 12, 2144-2147 (2010)

Mathematics

Algebraic Geometry

Scientific paper

In this note we prove that the sequence (3,d_2,d_3), where d_3>= d_2>= 3, is
the multidegee of some tame automorphism of C^3, if and only if 3|d_2 or d_3 is
a linaer combination of 3 and d_2 with coefficients in N.

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