A functorial lower bound for the essential minimum of varities in a power of an elliptic curve

Details A functorial lower bound for the essential minimum of varities in a power of an elliptic curve A functorial lower bound for the essential minimum of varities in a power of an elliptic curve

2009-08-21

arxiv.org/abs/0908.3062v1

Mathematics

Number Theory

23 pages, research article

Scientific paper

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

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