کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4665128 | 1633791 | 2016 | 39 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Stable categories of graded maximal Cohen–Macaulay modules over noncommutative quotient singularities
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Tilting objects play a key role in the study of triangulated categories. A famous result due to Iyama and Takahashi asserts that the stable categories of graded maximal Cohen–Macaulay modules over quotient singularities have tilting objects. This paper proves a noncommutative generalization of Iyama and Takahashi's theorem using noncommutative algebraic geometry. Namely, if S is a noetherian AS-regular Koszul algebra and G is a finite group acting on S such that SGSG is a “Gorenstein isolated singularity”, then the stable category CM_Z(SG) of graded maximal Cohen–Macaulay modules has a tilting object. In particular, the category CM_Z(SG) is triangle equivalent to the derived category of a finite dimensional algebra.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 297, 16 July 2016, Pages 54–92
Journal: Advances in Mathematics - Volume 297, 16 July 2016, Pages 54–92
نویسندگان
Izuru Mori, Kenta Ueyama,