6 papers
Nonsimplicial toric Nullstellensatz and stacky GKZ theory
Christine Berkesch, Daniel Erman, David Favero
We introduce a variant of the Cox ring using -Cartier divisors and use this to remedy various deficiencies of nonsimplicial toric varieties. Our main applications are:…
Kuznetsov Categories for Gauged Linear Sigma Models
David Favero, Daniel Kaplan, Tyler L. Kelly
We define Kuznetsov and anti-Kuznetsov categories for gauged linear sigma models. We show that for complete intersections of ample divisors in smooth projective toric varieties, th…
King's Conjecture and the Cox category
Matthew R. Ballard, Christine Berkesch, Michael K. Brown +6
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…
Topological Koszulity for Category Algebras
David Favero, Pouya Layeghi
We give a topological description of Ext groups between simple representations of categories via a nerve type construction. We use it to show that the Koszulity of indiscretely bas…
Homotopy Path Algebras
David Favero, Jesse Huang
We define a basic class of algebras which we call homotopy path algebras. We find that such algebras always admit a cellular resolution and detail the intimate relationship between…
Line Bundle Resolutions via the Coherent-Constructible Correspondence
David Favero, Mykola Sapronov
We consider a finite collection of line bundles introduced by Bondal on a smooth, projective toric variety . For any coherent sheaf on , we construct minimal resolut…