Decompositions of Abelian surface and quadratic forms

Details Decompositions of Abelian surface and quadratic forms Decompositions of Abelian surface and quadratic forms

2009-06-02

arxiv.org/abs/0906.0412v1

Mathematics

Algebraic Geometry

27 pages

Scientific paper

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.

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