We will construct a Quillen model structure out of the multiplier ideal sheaves on a smooth quasi-projective variety using earlier works of Isaksen and Barnea and Schlank. We also show that fibrant objects of this model category are made of kawamata log terminal pairs in birational geometry.
Keywords: Multiplier Ideal sheaf, Model Category, Pro-Category
2010 MSC: 14F18,18G55
Theory and Applications of Categories, Vol. 32, 2017, No. 13, pp 437-487.