Toric systems and mirror symmetry

Details Toric systems and mirror symmetry Toric systems and mirror symmetry

2012-01-23

arxiv.org/abs/1201.4855v1

Mathematics

Algebraic Geometry

Scientific paper

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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