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Toric systems and mirror symmetry

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Type
Preprint
Publication Date
Submission Date
Identifiers
arXiv ID: 1201.4855
Source
arXiv
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Abstract

Hille and Perling associate to every cyclic full strongly exceptional sequence of line bundles on a toric weak Fano surface a toric system, which defines a new toric surface. In this note we interprete this construction as an instance of mirror symmetry and extend it to a duality on the set toric weak Fano surfaces equiped with a cyclic full strongly exceptional sequence.

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