Mathematics – Algebraic Geometry
Scientific paper
2009-11-24
Mathematics
Algebraic Geometry
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.
Ishii Akira
Ueda Kazushi
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