On a symmetry of complex and real multiplication

Abstract

It is proved that each lattice with complex multiplication by $f\sqrt{-D}$ corresponds to a pseudo-lattice with real multiplication by $f^{\prime }\sqrt{D}$, where $f^{\prime }$ is an integer defined by $f$.

9 pages; to appear Hokkaido Math. J. 44 (2015), No.3

References in corpus (1)

• Modules over the Noncommutative Torus and Elliptic Curves

Cited by in corpus (3)

• Notes on noncommutative geometry
• On algebraic values of function exp (2ni x + log log y)
• Langlands reciprocity for C*-algebras