2 citations · 2 across the 5 of their papers we have counts for
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The Chern character of a coherent sheaf on a smooth projective hypersurface
David Favero, Tyler L. Kelly
Given a coherent sheaf on a smooth projective hypersurface X, we prove an explicit formula for its Chern character as a Cech cocycle in terms of the free resolution of the associat…
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…
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 resoluti…
General GLSM Invariants and Their Cohomological Field Theories
David Favero, Bumsig Kim
We construct GLSM invariants for a general choice of stability in both the narrow and broad sector cases and prove they form a Cohomological Field Theory. This is obtained by formi…