Decompositions of Abelian surface and quadratic forms

2009/06/02 by Ma, Shouhei · 1 citation
#11E16 #14H52 #14K02 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.0906.0412

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.

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• Mirror symmetry for lattice-polarized abelian surfaces

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