Dimensions of triangulated categories
Dimensions of triangulated categories
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DOI：
10.1017/is007011012jkt010
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发表时间：
2003-10
影响因子：
--
通讯作者：
R. Rouquier
中科院分区：
文献类型：
--
作者：
R. Rouquier
我们为三角分类定义一个维度。在有限维三角化范畴上证明了一类函子的可表征性定理。本文研究了代数或格式的有界派生范畴的维数，并特别证明了簇上相干束的有界派生范畴具有有限维数。
We define a dimension for a triangulated category. We prove a representability Theorem for a class of functors on finite dimensional triangulated categories. We study the dimension of the bounded derived category of an algebra or a scheme and we show in particular that the bounded derived category of coherent sheaves over a variety has a finite dimension.