Testing sets for properness of polynomial mappings |
| |
Authors: | Zbigniew Jelonek |
| |
Institution: | (1) Instytut Matematyki, Uniwersytet Jagielloński, Reymonta 4, PL 30-059 Kraków, Poland (e-mail: jelonek@im.uj.edu.pl) , PL |
| |
Abstract: | In this paper we characterize testing sets for properness of polynomial mappings . We also study the set of points at which such mappings are not proper. As the first application we give a proof of the Complementary
Conjecture of McKay and Wang (Conjecture 12 in 16]). The second application is an answer to the problem of Kraft- Russell
about a characterization of The third application is (given in 13]) a solution of the Problem of Van den Essen and Shpilrain about endomorphism of the
ring The fourth application is a theorem about extensions of affine varieties.
Received: 27 February 1998 / in revised form: 10 January 1999 |
| |
Keywords: | Mathematics Subject Classification (1991):14E10 14E22 14E40 |
本文献已被 SpringerLink 等数据库收录! |