Multidegrees of tame automorphisms of C^n

  title={Multidegrees of tame automorphisms of C^n},
  author={Marek Kara's},
  journal={arXiv: Algebraic Geometry},
  • Marek Kara's
  • Published 2011
  • Mathematics
  • arXiv: Algebraic Geometry
Let F=(F_1,...,F_n):C^n --> C^n be a polynomial mapping. By the multidegree of the mapping F we mean mdeg F=(deg F_1,...,deg F_n), an element of N^n. The aim of this paper is to study the following problem (especially for n=3): for which sequence (d_1,...,d_n) in N^n there is a tame automorphism F of C^n such that mdeg F=(d_1,...,d_n). In other words we investigate the set mdeg(Tame(C^n)), where Tame(C^n) denotes the group of tame automorphisms of C^n and mdeg denotes the mapping from the set… Expand
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