Decompositions of Abelian surface and quadratic forms
classification
🧮 math.AG
math.NT
keywords
abeliansurfacedecompositionscomplexadmitarithmeticcurvesdecomposed
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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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