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On the topologies on ind-varieties and related irreducibility questions

Stampfli, Immanuel. (2012) On the topologies on ind-varieties and related irreducibility questions. Journal of Algebra, 372. pp. 531-541.

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Official URL: http://edoc.unibas.ch/dok/A6070330

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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.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Algebra (Kraft)
UniBasel Contributors:Stampfli, Immanuel
Item Type:Article, refereed
Article Subtype:Research Article
Bibsysno:Link to catalogue
Publisher:Elsevier
ISSN:0021-8693
Note:Publication type according to Uni Basel Research Database: Journal article
Language:English
Identification Number:
Last Modified:14 Nov 2017 14:24
Deposited On:01 Feb 2013 08:45

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