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Mirror symmetry for lattice polarized del pezzo surfaces
journal contribution
posted on 2018-09-17, 13:00 authored by Charles F. Doran, Alan ThompsonAlan ThompsonWe 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.
History
School
- Science
Department
- Mathematical Sciences
Published in
Communications in Number Theory and PhysicsCitation
DORAN, C.F. and THOMPSON, A., Mirror symmetry for lattice polarized del pezzo surfaces. Communications in Number Theory and Physics, 12 (3), pp.543–580.Publisher
International PressVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Acceptance date
2018-03-21Publication date
2018Notes
This paper was published in the journal Communications in Number Theory and Physics and the definitive published version is available at http://dx.doi.org/10.4310/CNTP.2018.v12.n3.a3.ISSN
1931-4523Publisher version
Language
- en