Some Mirror partners with Complex multiplication

Details Some Mirror partners with Complex multiplication Some Mirror partners with Complex multiplication

2010-06-04

arxiv.org/abs/1006.0807v1

Mathematics

Algebraic Geometry

7 pages

Scientific paper

In this note we provide examples of families of Calabi-Yau 3-manifolds over
Shimura varieties, whose mirror families contain subfamilies over Shimura
varieties. Therefore these original families and subfamilies on the mirror side
contain dense sets of complex multiplication fibers. In view of the work of S.
Gukov and C. Vafa this is of special interest in theoretical physics.

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