English

Decompositions of Abelian surface and quadratic forms

Algebraic Geometry 2009-06-03 v1 Number Theory

Abstract

When a complex Abelian surface can be decomposed into a product of two elliptic curves, how many decompositions does the Abelian surface admit ? We provide arithmetic formulae for the number of decompositions of a complex Abelian surface.

Keywords

Cite

@article{arxiv.0906.0412,
  title  = {Decompositions of Abelian surface and quadratic forms},
  author = {Shouhei Ma},
  journal= {arXiv preprint arXiv:0906.0412},
  year   = {2009}
}

Comments

27 pages