# On Some Systems of Equations in Abelian Varieties

@inproceedings{Gallinaro2022OnSS, title={On Some Systems of Equations in Abelian Varieties}, author={Francesco Paolo Gallinaro}, year={2022} }

We solve a case of the Abelian Exponential-Algebraic Closedness Conjecture , a conjecture due to Bays and Kirby, building on work of Zilber, which predicts suﬃcient conditions for systems of equations involving algebraic operations and the exponential map of an abelian variety to be solvable in the complex numbers. More precisely, we show that the conjecture holds for subvarieties of the tangent bundle of an abelian variety A which split as the product of a linear subspace of the Lie algebra of…

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