Dualizing Complexes and Perverse Modules over Differential Algebras Export

@article{citeulike:5961460, abstract = {A differential algebra of finite type over a field k is a filtered algebra A, such that the associated graded algebra is finite over its center, and the center is a finitely generated k-algebra. The prototypical example is the algebra of differential operators on a smooth affine variety, when char k = 0. We study homological and geometric properties of differential algebras of finite type. The main results concern the rigid dualizing complex over such an algebra A: its existence, structure and variance properties. We also define and study perverse A-modules, and show how they are related to the Auslander property of the rigid dualizing complex of A.}, archivePrefix = {arXiv}, author = {Yekutieli, Amnon and Zhang, James J.}, citeulike-article-id = {5961460}, citeulike-linkout-0 = {http://arxiv.org/abs/math/0301323}, citeulike-linkout-1 = {http://arxiv.org/pdf/math/0301323}, day = {14}, eprint = {math/0301323}, keywords = {algebras, and, complexes, differential, dualizing, modules, over, perverse}, month = {Jul}, posted-at = {2009-10-18 18:39:20}, priority = {2}, title = {Dualizing Complexes and Perverse Modules over Differential Algebras}, url = {http://arxiv.org/abs/math/0301323}, year = {2004} }

TY - JOUR ID - citeulike:5961460 L3 - citeulike-article-id:5961460 N2 - A differential algebra of finite type over a field k is a filtered algebra A, such that the associated graded algebra is finite over its center, and the center is a finitely generated k-algebra. The prototypical example is the algebra of differential operators on a smooth affine variety, when char k = 0. We study homological and geometric properties of differential algebras of finite type. The main results concern the rigid dualizing complex over such an algebra A: its existence, structure and variance properties. We also define and study perverse A-modules, and show how they are related to the Auslander property of the rigid dualizing complex of A. TI - Dualizing Complexes and Perverse Modules over Differential Algebras KW - algebras KW - and KW - complexes KW - differential KW - dualizing KW - modules KW - over KW - perverse AU - Yekutieli, Amnon AU - Zhang, James PY - 2004/Jul/14/ UR - http://arxiv.org/abs/math/0301323 ER -