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On strong exceptional collections of line bundles of maximal length on Fano toric Deligne-Mumford stacks by Borisov, Lev; Wang, Chengxi is a scholarly article available to read on EtoBox.

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We study strong exceptional collections of line bundles on Fano toric Deligne-Mumford stacks $\mathbb{P}_{\mathbf{\Sigma}}$ with rank of Picard group at most two. We prove that any strong exceptional collection of line bundles generates the derived category of $\mathbb{P}_{\mathbf{\Sigma}}$, as long as the number of elements in the collection equals the rank of the (Grothendieck) $K$-theory group of $\mathbb{P}_{\mathbf{\Sigma}}$.

Author

Borisov, Lev; Wang, Chengxi

Published

2019

Language

EN