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Inverse degree of an affine space triangular automorphism

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Publication:2845410
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DOI10.1090/S0002-9939-2013-11631-XzbMath1312.14098MaRDI QIDQ2845410

Shu Kawaguchi

Publication date: 30 August 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

automorphismpolynomial ringdegreeinversenon-reduced ring


Mathematics Subject Classification ID

Polynomials over commutative rings (13B25) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Automorphisms of surfaces and higher-dimensional varieties (14J50)


Related Items (1)

Nilpotency indices, degrees of iterations of affine triangular automorphisms, and Schubert calculus



Cites Work

  • Unnamed Item
  • Computation of the maximal degree of the inverse of a cubic automorphism of the affine plane with Jacobian 1 via Gröbner bases
  • On the degree of the inverse of an automorphism of the affine space
  • Polynomial automorphisms and the Jacobian conjecture
  • The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
  • Degree Bounds for Inverses of Polynomial Automorphisms
  • Inverse degrees and the Jacobian conjecture
  • The Automorphism Group Of


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