Gradings allowing wild automorphisms. (English) Zbl 1499.14101
Reviewer: Kayo Masuda (Himeji)
Found 34 Documents (Results 1–34)
Automorphisms of finitely generated relatively free bicommutative algebras. (English) Zbl 1498.17002
Reviewer: Ivan Kaygorodov (Covilhã)
Polynomial automorphisms and the Jacobian conjecture. New results from the beginning of the 21st century. (English) Zbl 1464.14065
Frontiers in Mathematics. Cham: Birkhäuser/Springer (ISBN 978-3-030-60533-9/pbk; 978-3-030-60535-3/ebook). xii, 189 p. (2021).
Reviewer: Scott Nollet (Fort Worth)
Combinatorics of the tame automorphism group. (English. French summary) Zbl 1436.14103
Reviewer: Vesselin Drensky (Sofia)
Tame automorphisms with multidegrees in the form of arithmetic progressions. (English) Zbl 1389.14031
Reviewer: Vesselin Drensky (Sofia)
MSC:
14R10
The generalized amalgamated product structure of the tame automorphism group in dimension three. (English) Zbl 1316.14115
Reviewer: Alexei Kanel-Belov (Ramat-Gan)
Generalisations of the tame automorphisms over a domain of positive characteristic. (English) Zbl 1327.14250
Reviewer: N. Mohan Kumar (St. Louis)
On the Karaś type theorems for the multidegrees of polynomial automorphisms. (English) Zbl 1314.14110
Reviewer: Karol Palka (Warszawa)
How to prove the wildness of polynomial automorphisms: an example. (English) Zbl 1326.14143
Cheltsov, Ivan (ed.) et al., Automorphisms in birational and affine geometry. Papers based on the presentations at the conference, Levico Terme, Italy, October 29 – November 3, 2012. Cham: Springer (ISBN 978-3-319-05680-7/hbk; 978-3-319-05681-4/ebook). Springer Proceedings in Mathematics & Statistics 79, 381-386 (2014).
On the group of unitriangular automorphisms of the polynomial ring in two variables over a finite field. (English) Zbl 1315.14077
Reviewer: Alexei Kanel-Belov (Ramat-Gan)
Classification of quadratic homogeneous automorphisms in dimension five. (English) Zbl 1300.14063
Reviewer: Tadeusz Krasiński (Łódź)
An algorithm for deciding tameness of polynomial automorphisms in three variables. (English) Zbl 1317.14134
Flenner, Hubert (ed.) et al., Commutative algebra and algebraic geometry. Proceedings of the international conference (CAAG-2010), Bangalore, India, December 6–10, 2010, in honour of Balwant Singh, Uwe Storch and Rajendra V. Gurjar. Mysore: Ramanujan Mathematical Society (ISBN 978-93-80416-10-6/hbk). Ramanujan Mathematical Society Lecture Notes Series 17, 117-137 (2013).
The tame and the wild automorphisms of an affine quadric threefold. (English) Zbl 1318.14059
Reviewer: Mingshuo Zhou (Beijing)
MSC:
14R20
Degree estimate for subalgebras. (English) Zbl 1267.16023
Reviewer: Vesselin Drensky (Sofia)
Polynomial and Poisson dependence in free Poisson algebras and free Poisson fields. (English) Zbl 1259.17021
Reviewer: Vesselin Drensky (Sofia)
On the lifting of the Nagata automorphism. (English) Zbl 1232.13005
Reviewer: Vesselin Drensky (Sofia)
There is no tame automorphism of \(\mathbb{C}^{3}\) with multidegree \((3,4,5)\). (English) Zbl 1219.14067
Reviewer: N. Mohan Kumar (St. Louis)
MSC:
14R10
A parachute for the degree of a polynomial in algebraically independent ones. (English) Zbl 1219.14068
Reviewer: N. Mohan Kumar (St. Louis)
Tame automorphisms of \(\mathbb C^3\) with multidegree of the form \((3,d_{2},d_{3})\). (English) Zbl 1208.14057
Reviewer: Adrien Dubouloz (Dijon)
MSC:
14R10
Corrigendum: ‘A new proof of the non-tameness of the Nagata automorphism from the point of view of the Sarkisov program, Compositio Math. 144 (2008), 963-977’. (English) Zbl 1194.14084
Reviewer: Olaf Teschke (Berlin)
Shestakov-Umirbaev reductions and Nagata’s conjecture on a polynomial automorphism. (English) Zbl 1210.14072
Reviewer: Adrien Dubouloz (Dijon)
Locally nilpotent derivations and Nagata-type automorphisms of a polynomial algebra. (Ukrainian, English) Zbl 1224.14015
Ukr. Mat. Zh. 61, No. 8, 1011-1024 (2009); translation in Ukr. Math. J. 61, No. 8, 1199-1214 (2009).
A generalization of the Shestakov-Umirbaev inequality. (English) Zbl 1144.14046
Reviewer: Vesselin Drensky (Sofia)
Degree estimate for subalgebras generated by two elements. (English) Zbl 1137.16029
Reviewer: Vesselin Drensky (Sofia)
The Anick automorphism of free associative algebras. (English) Zbl 1126.16021
Reviewer: Vesselin Drensky (Sofia)
Defining relations of the tame automorphism group of polynomial algebras in three variables. (English) Zbl 1132.14051
Reviewer: Vesselin Drensky (Sofia)
The explicit factorization of the Cremona transformation which is an extension of the Nagata automorphism into elementary links. (English) Zbl 1081.14081
Reviewer: Rajendra Gurjar (Mumbai)
Power linear Keller maps of nilpotency index two. (English) Zbl 1064.14075
Reviewer: Tadeusz Krasiński (Łódź)
MSC:
14R10
The solution of the Tame Generators Conjecture according to Shestakov and Umirbaev. (English) Zbl 1060.14087
Reviewer: Tadeusz Krasiński (Łódź)
MSC:
14R10
Free \(\mathbb{C}_+\)-actions on \(\mathbb{C}^3\) are translations. (English) Zbl 1058.14076
Reviewer: Olaf Teschke (Berlin)
Combinatorial methods. Free groups, polynomials, and free algebras. (English) Zbl 1039.16024
CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC 19. New York, NY: Springer (ISBN 0-387-40562-3/hbk). xii, 315 p. (2004).
Reviewer: Vyacheslav A. Artamonov (Moskva)
Generating properties of invertible polynomial maps in three variables which have a small compositional-triangular length. (English) Zbl 1070.14060
Reviewer: Olaf Teschke (Berlin)
Polynomial automorphisms and invariants. (English) Zbl 1095.14058
Reviewer: Vesselin Drensky (Sofia)
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