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Twisted Homogeneous Coordinate Rings of Abelian Surfaces via Mirror Symmetry

Marco Aldi
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Abstract

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.

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Marco Aldi. 2006-05-24. Twisted Homogeneous Coordinate Rings of Abelian Surfaces via Mirror Symmetry. https://doi.org/10.1090/s0002-9939-09-09817-7

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