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On the topologies on ind-varieties and related irreducibility questions
JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift)
 
ID 1507331
Author(s) Stampfli, Immanuel
Author(s) at UniBasel van Santen, Immanuel
Year 2012
Title On the topologies on ind-varieties and related irreducibility questions
Journal Journal of Algebra
Volume 372
Pages / Article-Number 531-541
Keywords Ind-varieties, Affine algebraic geometry, Topology
Abstract In the literature there are two ways of endowing an a ne indvariety with a topology. One possibility is due to Shafarevich and the other to Kambayashi. In this paper we specify a large class of a ne ind-varieties where these two topologies di er. We give an example of an a ne ind-variety that is reducible with respect to Shafarevich's topology, but irreducible with respect to Kambayashi's topology. Moreover, we give a counter-example of a supposed irreducibility criterion given in [Sha81] which is di erent from the counter-example given by Homma in [Kam96]. We nish the paper with an irreducibility criterion similar to the one given by Shafarevich.
Publisher Elsevier
ISSN/ISBN 0021-8693
edoc-URL http://edoc.unibas.ch/dok/A6070330
Full Text on edoc Available
Digital Object Identifier DOI 10.1016/j.jalgebra.2012.08.019
ISI-Number WOS:000311187200028
Document type (ISI) Article
 
   

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