10 citations · 11 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
Rouquier dimension is Krull dimension for normal toric varieties
David Favero, Jesse Huang
We prove that for any normal toric variety, the Rouquier dimension of its bounded derived category of coherent sheaves is equal to its Krull dimension. Our proof uses the coherent-…
GKZ discriminant and Multiplicities
Jesse Huang, Peng Zhou
Let $T=(\C^*)^k$ act on $V=\C^N$ faithfully and preserving the volume form, i.e. $(\C^*)^k \into \text{SL}(V)$. On the B-side, we have toric stacks (see Eq. \ref{eq:ZW})label…
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…