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Automorphisms of affine spaces. Proceedings of the international conference on invertible polynomial maps, held in Curaçao, Netherlands Antilles, July 4-8, 1994, under the auspices of the Caribbean Mathematical Foundation (CMF). (English) Zbl 0818.00010

Dordrecht: Kluwer Academic Publishers. xix, 243 p. (1995).

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[The articles of this volume will be reviewed individually.]
In the workshop, intended for non-specialits of the Caribbean region, the author tried to give a quick (but of course non-complete) introduction to the subject. The topics in the proceedings have been divided in four parts. The first part consists of six papers discussing \(n\)-dimensional polynomial maps. The second part consists of five papers concerning two- dimensional results and the third part deals with group actions. Finally the last part consists of two papers answering questions raised during the conference. At the end of the series of lectures a small ‘problem section’ is included.
Indexed articles:
van den Essen, Arno, Seven lectures on polynomial automorphisms, 3-39 [Zbl 0841.13006]
Drużkowski, Ludwik, The Jacobian conjecture: Some steps towards solution, 41-54 [Zbl 0839.13012]
Kraft, Hanspeter; Schwarz, Gerald, Finite automorphisms of affine \(N\)-space, 55-66 [Zbl 0837.14010]
Meisters, Gary, Polyomorphisms conjugate to dilations, 67-87 [Zbl 0856.14002]
Adjamagbo, Kossivi, On separable algebras over a U.F.D. and the Jacobian conjecture in any characteristic, 89-103 [Zbl 0832.13017]
Cima, Anna; Gasull, Armengol; Llibre, Jaume; Mañosas, Francesc, Global injectivity of polynomials maps via vector fields, 105-123 [Zbl 0834.58006]
Feßler, Robert, On the Markus-Yamabe conjecture, 127-135 [Zbl 0847.58045]
Stein, Yosef, Derivations generated by polynomials, their images and complements of the images, 137-144 [Zbl 0831.47024]
Wright, David, Normal forms and the Jacobian conjecture, 145-156 [Zbl 0836.13015]
Cheng, Charles; Wang, Stuart, Radial similarity of Newton polygons, 157-167 [Zbl 0846.12001]
Cheng, Charles; Wang, Stuart, An algorithm that determines whether a polynomial map is bijective, 169-176 [Zbl 0836.13020]
Deveney, James; Finston, David, Algebraic aspects of additive group actions on complex affine space, 179-190 [Zbl 0865.14006]
Derksen, Harm, Quotients of algebraic group actions, 191-200 [Zbl 0838.14039]
Freudenburg, Gene, One-parameter subgroups and the triangular subgroup of the affine Cremona group, 201-213 [Zbl 0854.14007]
Alev, Jacques, A note on Nagata’s automorphism, 215-221 [Zbl 0831.14004]
Kraft, Hanspeter, On a question of Yosef Stein, 225-229 [Zbl 0844.13013]
van den Essen, Arno, A counterexample to a conjecture of Meisters, 231-233 [Zbl 0831.13004]
Open problems, 237-239 [Zbl 0841.13007]

MSC:

00B25 Proceedings of conferences of miscellaneous specific interest
14-06 Proceedings, conferences, collections, etc. pertaining to algebraic geometry
32-06 Proceedings, conferences, collections, etc. pertaining to several complex variables and analytic spaces
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