Homological mirror symmetry for the genus two curve

Details Homological mirror symmetry for the genus two curve Homological mirror symmetry for the genus two curve

2008-12-05

arxiv.org/abs/0812.1171v5

Mathematics

Algebraic Geometry

latest revision: exposition of Fukaya categories modified, one sign error removed

Scientific paper

Katzarkov has proposed a generalization of Kontsevich's mirror symmetry
conjecture, covering some varieties of general type. We prove a version of this
conjecture in the simplest example, relating the Fukaya category of a genus two
curve to the category of Landau-Ginzburg branes on a certain singular rational
surface.

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