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Original Articles

Degeneration of Tame Automorphisms of a Polynomial Ring

Pages 1196-1199 | Received 08 Nov 2014, Published online: 29 Jan 2016

REFERENCES

  • Edo, E., Poloni, P.-M. (2014). On the closure of the tame automorphism group of affine three-space. Int. Math. Res. Not. doi: 10.1093/imrn/rnu237
  • van den Essen, A. (2000). Polynomial Automorphisms and the Jacobian Conjecture. Progress in Mathematics, Vol. 190. Basel, Boston, Berlin: Birkhäuser.
  • Furter, J.-P. (2002). On the length of polynomial automorphisms of the affine plane. Math. Ann. 322:401–411.
  • Jung, H. (1942). Über ganze birationale Transformationen der Ebene. J. Reine Angew. Math. 184:161–174.
  • van der Kulk, W. (1953). On polynomial rings in two variables. Nieuw Arch. Wisk. 1(3):33–41.
  • Kuroda, S. (2010). Shestakov-Umirbaev reductions and Nagata's conjecture on a polynomial automorphism. Tohoku Math. J. 62:75–115.
  • Kuroda, S. Wildness of polynomial automorphisms in three variables. arXiv:math.AC/1110.1466v1.
  • Shestakov, I., Umirbaev, U. (2004). The tame and the wild automorphisms of polynomial rings in three variables. J. Amer. Math. Soc. 17:197–227.
  • Smith, M. K. (1989). Stably tame automorphisms. J. Pure Appl. Algebra 58:209–212.

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