کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5777697 | 1633047 | 2017 | 40 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The homotopy type of spaces of resultants of bounded multiplicity
ترجمه فارسی عنوان
نوع فضایی هماتوپوپی حاصل از چندگانگی محدود
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
چکیده انگلیسی
For integers m,n,dâ¥1 with (m,n)â (1,1) and a field F with algebraic closure Fâ¾, let Polyd,mn(F) denote the space of all m-tuples (f1(z),â¦,fm(z))âF[z]m of monic polynomials of the same degree d such that polynomials f1(z),â¦,fm(z) have no common root in Fâ¾ of multiplicity â¥n. These spaces were defined by Farb and Wolfson [12] as generalizations of spaces first studied by Arnold, Vassiliev, Segal and others in different contexts. They obtained algebraic geometrical and arithmetic results about them. In this paper we investigate the homotopy type of these spaces for the case F=C. Our results generalize those of [12] for F=C and also results of G. Segal [28], V. Vassiliev [30] and F. Cohen-R. Cohen-B. Mann-R. Milgram [5] for mâ¥2 and nâ¥2.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 232, 1 December 2017, Pages 112-139
Journal: Topology and its Applications - Volume 232, 1 December 2017, Pages 112-139
نویسندگان
Andrzej Kozlowski, Kohhei Yamaguchi,