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arXiv · 1709.00856

Mirror Symmetry for Lattice Polarized del Pezzo Surfaces

Charles F. Doran·Alan Thompson
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Abstract

We describe a notion of lattice polarization for rational elliptic surfaces and weak del Pezzo surfaces, and describe the complex moduli of the former and the K\"{a}hler cone of the latter. We then propose a version of mirror symmetry relating these two objects, which should be thought of as a form of Fano-LG correspondence. Finally, we relate this notion to other forms of mirror symmetry, including Dolgachev-Nikulin-Pinkham mirror symmetry for lattice polarized K3 surfaces and the Gross-Siebert program.

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Charles F. Doran, Alan Thompson. 2017-09-04. Mirror Symmetry for Lattice Polarized del Pezzo Surfaces. https://doi.org/10.4310/cntp.2018.v12.n3.a3

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