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Homological mirror symmetry for toric orbifolds of toric del Pezzo surfaces
-
Kazushi Ueda
and
Masahito Yamazaki
Published/Copyright:
March 23, 2012
Abstract
We formulate a conjecture which describes the Fukaya category of an exact Lefschetz fibration defined by a Laurent polynomial in two variables in terms of a pair consisting of a consistent dimer model and a perfect matching on it. We prove this conjecture in some cases, and obtain homological mirror symmetry for quotient stacks of toric del Pezzo surfaces by finite subgroups of the torus as a corollary.
Received: 2010-06-08
Revised: 2011-06-15
Published Online: 2012-03-23
Published in Print: 2013-06
©[2013] by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Homological mirror symmetry for toric orbifolds of toric del Pezzo surfaces
- On nonary cubic forms: IV
- Convexity estimates for level sets of quasiconcave solutions to fully nonlinear elliptic equations
- Inhomogeneous cubic congruences and rational points on del Pezzo surfaces
- A reduction theorem for the Alperin–McKay conjecture
- Regularity of solutions to the parabolic fractional obstacle problem
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