King's Conjecture and the Cox category
arXiv:2501.00130
Abstract
We state and prove a realization of King's Conjecture for a category glued from the derived categories of all of the toric varieties arising from a given Cox ring. Our perspective extends ideas of Beilinson and Bondal to all semiprojective toric varieties.
Updates include a number of new references and minor edits. 55 pages, 7 figures