%0 Journal Article %T Twisted Homogeneous Coordinate Rings of Abelian Surfaces via Mirror Symmetry %A Marco Aldi %J Mathematics %D 2006 %I arXiv %X In this paper we study Seidel's mirror map for abelian and Kummer surfaces. We find that mirror symmetry leads in a very natural way to the classical parametrization of Kummer surfaces in $\P^3$. Moreover, we describe a family of embeddings of a given abelian surface into noncommutative projective spaces. %U http://arxiv.org/abs/math/0605648v2