2019Selecta MathematicaOpen access

Effective estimates for the degrees of maximal special subvarieties

Christopher Daw, Ariyan Javanpeykar, Lars Kühne

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Abstract

Abstract Let Z be an algebraic subvariety of a Shimura variety. We extend results of the first author to prove an effective upper bound for the degree of a non-facteur maximal special subvariety of Z .

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Abstract Let Z be an algebraic subvariety of a Shimura variety. We extend results of the first author to prove an effective upper bound for the degree of a non-facteur maximal special subvariety of Z .

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Available abstract

Abstract Let Z be an algebraic subvariety of a Shimura variety. We extend results of the first author to prove an effective upper bound for the degree of a non-facteur maximal special subvariety of Z .

Key concepts: Subvariety, Mathematics, Variety (cybernetics), Upper and lower bounds, Pure mathematics, Degree (music), Algebraic number, Mathematical analysis

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