Date of Award
Spring 2020
Document Type
Open Access Dissertation
Department
Mathematics
First Advisor
Matthew Ballard
Abstract
We develop a generalization of a construction of Drinfeld, first inspired by the Qconstruction of Ballard, Diemer, and Favero. We use this construction to provide kernels for Grassmann flops over an arbitrary field of characteristic zero. In the case of Grassmann flops this generalization recovers the kernel for a Fourier-Mukai functor on the derived category of the associated global quotient stack studied by Buchweitz, Leuschke, and Van den Bergh. We show an idempotent property for this kernel, which after restriction, induces a derived equivalence over any twisted form of a Grassmann flop.
Rights
© 2020, Robert R Vandermolen
Recommended Citation
Vandermolen, R. R.(2020). Windows and Generalized Drinfeld Kernels. (Doctoral dissertation). Retrieved from https://scholarcommons.sc.edu/etd/5855