Real and complex multiplication are mirror symmetric

Details Real and complex multiplication are mirror symmetric Real and complex multiplication are mirror symmetric

2009-10-20

arxiv.org/abs/0910.3875v4

Mathematics

Number Theory

8 pages; revised with a new title

Scientific paper

We construct an inverse of a functor between elliptic curves with complex
multiplication and noncommutative tori with real multiplication. The
construction entails that complex multiplication by the square root of -D
corresponds to a real multiplication by the square root of D.

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