English

On a symmetry of complex and real multiplication

Number Theory 2021-03-02 v6 Differential Geometry Operator Algebras

Abstract

It is proved that each lattice with complex multiplication by fDf\sqrt{-D} corresponds to a pseudo-lattice with real multiplication by fDf'\sqrt{D}, where ff' is an integer defined by ff.

Keywords

Cite

@article{arxiv.0910.3875,
  title  = {On a symmetry of complex and real multiplication},
  author = {Igor Nikolaev},
  journal= {arXiv preprint arXiv:0910.3875},
  year   = {2021}
}

Comments

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