Twisted Homogeneous Coordinate Rings of Abelian Surfaces via Mirror Symmetry

Details Twisted Homogeneous Coordinate Rings of Abelian Surfaces via Mirror Symmetry Twisted Homogeneous Coordinate Rings of Abelian Surfaces via Mirror Symmetry

2006-05-24

arxiv.org/abs/math/0605648v2

Mathematics

Symplectic Geometry

6 pages

Scientific paper

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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