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Abstract: A subvariety V of an abelian variety is `translate- if it is the union oftranslates of proper algebraic subgroups. An irreducible V is `transverse- ifit is not contained in any translate variety. Effective sharp lower bounds fora transverse subvarieties of a power of an elliptic curve E are known. Here, weprove a sharp lower bound for the essential minimum of non-translatesubvarieties of such a power E^g.



Author: Viada Evelina

Source: https://arxiv.org/







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