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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.
@article{TAC_2017_32_a12, author = {Seunghun Lee}, title = {Building a model category out of multiplier ideal sheaves}, journal = {Theory and applications of categories}, pages = {437--487}, publisher = {mathdoc}, volume = {32}, year = {2017}, language = {en}, url = {http://geodesic.mathdoc.fr/item/TAC_2017_32_a12/} }
Seunghun Lee. Building a model category out of multiplier ideal sheaves. Theory and applications of categories, Tome 32 (2017), pp. 437-487. http://geodesic.mathdoc.fr/item/TAC_2017_32_a12/