References
- Abhyankar, S. S. (1974). Lectures in Algebraic Geometry. Notes by Chris Christensen, Purdue University.
- Bass, H. (1983). The Jacobian Conjecture and Inverse Degrees, Arithmetic and Geometry, Vol. II, Progr. Math., 36, Boston, Mass.: Birkhäuser, pp. 65–75.
- Bass, H., Connel, E. H., Wright, D. (1982). The Jacobian conjecture: reduction of degree and formal expansion of the inverse. Bull. Amer. Math. Soc. (N.S.) 7(2):287–330.
- Cheng, C. C.-A., Wang, S. S.-S., Yu, J.-T. (1994). Degree bounds for inverses of polynomial automorphisms. Proc. Amer. Math. Soc. 120(3):705–707.
- Derksen, H. (1994). Inverse degrees and the Jacobian conjecture. Commun. Algebra 22(12):4793–4794.
- van den Essen, A. (2000). Polynomial Automorphisms, Progress in Mathematics, Vol. 190. Basel: Birkhäuser Verlag.
- van den Essen, A. (1999). On Bass’ Inverse Degree Approach to the Jacobian Conjecture and Exponential Automorphisms, Combinatorial and Computational Algebra (Hong Kong, 1999), 207–214. Contemp. Math. Vol. 264, Providence, RI: Amer. Math. Soc.
- Fournié, M., Furter, J.-Ph., Pinchon, D. (1998). Computation of the maximal degree of the inverse of a cubic automorphism of the affine plane with Jacobian 1 via Gröbner bases. J. Symbolic Comput. 26(3):381–386.
- Furter, J.-Ph. (1998). On the degree of the inverse of an automorphism of the affine plane. J. Pure Appl. Algebra 130(3):277–292.
- Furter, J.-Ph. (1999). On the degree of iterates of automorphisms of the affine plane. Manus. Math. 98(2):183–193.
- Kawaguchi, S. (2013). Inverse degree of a triangular automorphism of the affine space. Proc. Amer. Math. Soc. 141:3353–3360.
- Kawaguchi, S. (2014). Nilpotency indices, degrees of iterations of affine triangular automorphisms, and Schubert calculus. Manus. Math. 144(3–4):311–339.
- Maubach, S. (2002). The automorphism group of ℂ[T]∕(Tm)[X1,…,Xn]. Commun. Algebra 30(2):619–629.
- Meisters, G., Olech, C. (1991). Strong nilpotence holds in dimensions up to five only. Linear Multilinear Algebra 30:231–255.
- van Rossum, P. (2001). Tackling problems on affine space with locally nilpotent derivations on polynomial rings. Ph.D. thesis, University of Nijmegen.
- Wright, D. (2007). The Jacobian Conjecture as a Problem in Combinatorics, Affine Algebraic Geometry, in honor of Masayoshi Miyanishi Osaka: Osaka Univ. Press pp. 483–503.