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Toric systems and mirror symmetry

  • Raf Bocklandt (a1)
Abstract

In their paper [Exceptional sequences of invertible sheaves on rational surfaces, Compositio Math. 147 (2011), 1230–1280], Hille and Perling associate to every cyclic full strongly exceptional sequence of line bundles on a toric weak del Pezzo surface a toric system, which defines a new toric surface. We interpret this construction as an instance of mirror symmetry and extend it to a duality on the set of toric weak del Pezzo surfaces equipped with a cyclic full strongly exceptional sequence.

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References
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Compositio Mathematica
  • ISSN: 0010-437X
  • EISSN: 1570-5846
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