On the uniqueness of the coefficient ring in a polynomial ring, Journal of Algebra, vol.23, issue.2, pp.310-342, 1972. ,
DOI : 10.1016/0021-8693(72)90134-2
Inequivalent embeddings of the Koras-Russell cubic threefold, Michigan Math, J, vol.59, issue.3, pp.679-694, 2010. ,
Non cancellation for smooth contractible affine threefolds, Proc. Amer, pp.4273-4284, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00476471
Deformation Theory, GTM, vol.257, 2010. ,
DOI : 10.1007/978-1-4419-1596-2
???fibers are variables, Pacific Journal of Mathematics, vol.203, issue.1, pp.161-190, 2002. ,
DOI : 10.2140/pjm.2002.203.161
C * -actions on C 3 are linearizable, Electronic Research Announcements of the American Mathematical Society, vol.3, issue.09, pp.63-71, 1997. ,
DOI : 10.1090/S1079-6762-97-00025-5
Makar-Limanov, On the Russell-Koras contractible threefolds, J. Algebraic Geom, vol.6, issue.2, pp.247-268, 1997. ,
AK-invariant of affine domains, Affine Algebraic Geometry, pp.231-255, 2007. ,
Affine modifications and affine hypersurfaces with a very transitive automorphism group, Transformation Groups, vol.53, issue.3, pp.53-95, 1999. ,
DOI : 10.1007/BF01236662
C * -actions on C 3 : the smooth locus of the quotient is not of hyperbolic type, J. Algebraic Geom, vol.8, issue.4, pp.603-694, 1999. ,
On the hypersurface x + x 2 y + z 2 + t 3 = 0 in C 4 or a C 3 -like threefold which is not C 3, Israel J. Math, pp.96-419, 1996. ,
Automorphism groups of Koras-Russell threefolds of the first kind, Proceedings of Affine Algebraic Geometry : A conference in Honour of Peter Russell, CRM Proceedings Lecture Notes, pp.261-270, 2009. ,
A remark on the unique factorization theorem, J. Math. Soc. Japan, vol.9, issue.1, pp.143-145, 1957. ,
Polynomial ring in two variables over a D.V.R.: A criterion, Inventiones Mathematicae, vol.74, issue.No. 1, pp.74-159, 1983. ,
DOI : 10.1007/BF01388536
The special automorphism group of <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>R</mml:mi><mml:mrow><mml:mo>[</mml:mo><mml:mi>t</mml:mi><mml:mo>]</mml:mo></mml:mrow><mml:mo>/</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mrow><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mo>???</mml:mo><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math> and coordinates of a subring of <mml:math altimg="si2.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>R</mml:mi><mml:mrow><mml:mo>[</mml:mo><mml:mi>t</mml:mi><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mo>???</mml:mo><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo>]</mml:mo></mml:mrow></mml:math>, Journal of Pure and Applied Algebra, vol.210, issue.1, pp.141-146, 2007. ,
DOI : 10.1016/j.jpaa.2006.09.013
Avenue Alain Savary, BP 47870, 21078 Dijon Cedex, France E-mail address: Adrien.Dubouloz@u-bourgogne.fr E-mail address: moser@u-bourgogne ,