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arXiv:0906.0412 [math.AG]AbstractReferencesReviewsResources

Decompositions of Abelian surface and quadratic forms

Shouhei Ma

Published 2009-06-02Version 1

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.

Comments: 27 pages
Categories: math.AG, math.NT
Subjects: 14K02, 14H52, 11E16
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