Exceptional Collections of Line Bundles for Smooth Toric Fano Surfaces and Threefolds
arXiv:2403.09663
Abstract
The cellular resolution of the diagonal given by Bayer-Popescu-Sturmfels for unimodular projective toric varieties yields a full, strong exceptional collection of line bundles on unimodular projective toric surfaces. The Hanlon-Hicks-Lazarev resolution of the diagonal yields a full, strong exceptional collection of line bundles for 16 of the 18 smooth toric Fano threefolds.
46 pages. Added AI usage disclosure for reformatting, summarizing previous results, and updating images in TeX