# Homological mirror symmetry for the genus 2 curve in an abelian variety and its generalized Strominger-Yau-Zaslow mirror

@article{Cannizzo2019HomologicalMS, title={Homological mirror symmetry for the genus 2 curve in an abelian variety and its generalized Strominger-Yau-Zaslow mirror}, author={Catherine K. A. Cannizzo}, journal={arXiv: Symplectic Geometry}, year={2019} }

Author(s): Cannizzo, Catherine Kendall Asaro | Advisor(s): Auroux, Denis | Abstract: Motivated by observations in physics, mirror symmetry is the concept that certain manifolds come in pairs $X$ and $Y$ such that the complex geometry on $X$ mirrors the symplectic geometry on $Y$. It allows one to deduce information about $Y$ from known properties of $X$. Strominger-Yau-Zaslow (1996) described how such pairs arise geometrically as torus fibrations with the same base and related fibers, known as… Expand

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