کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4585052 1630523 2013 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Cotorsion pairs in the cluster category of a marked surface
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Cotorsion pairs in the cluster category of a marked surface
چکیده انگلیسی

We study extension spaces, cotorsion pairs and their mutations in the cluster category of a marked surface without punctures. Under the one-to-one correspondence between the curves, valued closed curves in the marked surface and the indecomposable objects in the associated cluster category, we prove that the dimension of extension space of two indecomposable objects in the cluster categories equals to the intersection number of the corresponding curves. By using this result, we prove that there are no non-trivial t-structures in the cluster categories when the surface is connected. Based on this result, we give a classification of cotorsion pairs in these categories. Moreover we define the notion of paintings of a marked surface without punctures and their rotations. They are a geometric model of cotorsion pairs and of their mutations respectively.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 391, 1 October 2013, Pages 209–226
نویسندگان
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