Dimer models and exceptional collections

Mathematics – Algebraic Geometry

Scientific paper

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18 pages, no figures. v2: added Remark 7.4 and Section 8

Scientific paper

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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