CATEGORICAL

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A functorial approach to categorical resolutions
《Science China Mathematics》2020年第10期2005-2016,共12页Rasool Hafezi Mohammad Hossein 
supported by a grant from Institute for Research in Fundamental Sciences(IPM)(Grant No.98130021)。
Using a relative version of Auslander’s formula,we give a functorial approach to show that the bounded derived category of every Artin algebra admits a categorical resolution.This,in particular,implies that the bound...
关键词:categorical resolutions Artin algebras Auslander’s formula 
Categorical resolutions of a class of derived categories被引量:4
《Science China Mathematics》2018年第2期391-402,共12页Pu Zhang 
supported by National Natural Science Foundation of China(Grant Nos.11271251 and 11431010)
We clarify the relation between the subcategory D_(hf)~b(A) of homological finite objects in D^b(A)and the subcategory K^b(P) of perfect complexes in D^b(A), by giving two classes of abelian categories A with enough p...
关键词:homologically finite object perfect complex smooth triangulated category (weakly crepant)categorical resolution (relative) derived category CM-finite Gorenstein algebra 
Invariant holomorphic extension in several complex variables Dedicated to Professor Sheng GONG on the occasion of his 75th birthday被引量:1
《Science China Mathematics》2006年第11期1593-1598,共6页ZHOU Xiangyu 
Two fundamental problems on the invariant holomorphic extensions have been posed, which are naturally arose from our solution of the extended future tube conjecture and closely and deeply related to the general theory...
关键词:STEIN manifold  group action  plurisubharmonic function  minimum principle  CATEGORICAL quotient. 
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