Any strong exceptional collection of line bundles of length equal to the K-theory rank generates the derived category of the given Fano toric DM stack.
Dimer models and exceptional collections
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We construct a full strong exceptional collection consisting of line bundles on any two-dimensional smooth toric weak Fano stack. The total endomorphism algebra of the resulting collection is isomorphic to the path algebra of a quiver with relations associated with a dimer model and a perfect matching on it.
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On strong exceptional collections of line bundles of maximal length on Fano toric Deligne-Mumford stacks
Any strong exceptional collection of line bundles of length equal to the K-theory rank generates the derived category of the given Fano toric DM stack.
- Higher representation infinite algebras and toric Fano stacks of Picard number one or two