کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4585444 | 1630542 | 2012 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the topologies on ind-varieties and related irreducibility questions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In the literature there are two ways of endowing an affine ind-variety with a topology. One possibility is due to Shafarevich and the other to Kambayashi. In this paper we specify a large class of affine ind-varieties where these two topologies differ. We give an example of an affine ind-variety that is reducible with respect to Shafarevichʼs topology, but irreducible with respect to Kambayashiʼs topology. Moreover, we give a counter-example of a supposed irreducibility criterion given in Shafarevich (1981) [Sha81], which is different from the counter-example given by Homma in Kambayashi (1996) [Kam96]. We finish the paper with an irreducibility criterion similar to the one given by Shafarevich.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 372, 15 December 2012, Pages 531-541
Journal: Journal of Algebra - Volume 372, 15 December 2012, Pages 531-541