Toric systems and mirror symmetry
| Authors | |
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| Publication date | 11-2013 |
| Journal | Compositio Mathematica |
| Volume | Issue number | 149 | 11 |
| Pages (from-to) | 1839-1855 |
| Organisations |
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| 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. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.1112/S0010437X1300701X
(Final published version)
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