2 citations · 2 across the 5 of their papers we have counts for
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A functorial lower bound for the essential minimum of varities in a power of an elliptic curve
Viada Evelina
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 t…
Lower bounds for the normalized height and non-dense subsets of varieties in an abelian variety
Viada Evelina
This work is the third part of a series of papers. In the first two we consider curves and varieties in a power of an elliptic curve. Here we deal with subvarieties of an abelian v…
The optimality of the Boundedness Height Conjecture
Viada Evelina
We show that the Boundedness Height Conjecture is optimal; all varieties in a power of an elliptic curve which do not satisfy the hypothesis neither satisfy the thesis. The Bounded…
The intersection of a curve with a union of translated codimension 2 subgroups in a power of an elliptic curve
Viada Evelina
Let C be an algebraic curve in a power of an elliptic curve, both defined over the algebraic numbers. We show that the set of algebraic points of C which satisfy certain conditions…
Non-dense sets of subvarieties in a power of an elliptic curve
Viada Evelina
Let V be an algebraic variety embedded in a power of an elliptic curve, both defined over the algebraic numbers. We show that the set of algebraic points of V which are of bounded…