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GKZ Hypergeometric Systems and Projective Modules in Hypertoric Category O

Hilburn, Justin (University of Oregon, 2016-10-27)

In this thesis I show that indecomposable projective and tilting modules in hypertoric category O are obtained by applying a variant of the geometric Jacquet functor of Emerton, Nadler, and Vilonen to certain Gel'fand-Ka ...