Article ID Journal Published Year Pages File Type
1896905 Journal of Geometry and Physics 2008 21 Pages PDF
Abstract

We show that complex multiplication on Abelian varieties is equivalent to the existence of a constant rational Kähler metric. We give a sufficient condition for a mirror of an Abelian variety of CM-type to be of CM-type. We also study the relationship between complex multiplication and rationality of a toroidal lattice vertex algebra.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Authors
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