Let Eλ be the Legendre elliptic curve of equation Y XX X 1 2 = ( - )( - ) l . We recently proved that, given n linearly independent points P P 1( )¼ ( ) l l , , n on Eλ with coordinates in ( ) l , there are at most finitely many complex numbers l0 such that the points P P 10 0 ( )¼ ( ) l l , , n satisfy two independent relations on El0. In this article, we continue our investigations on Unlikely Intersections in families of abelian varieties, and consider the case of a curve in a product of two non-isogenous families of elliptic curves and in a family of split semi-abelian varieties
Unlikely intersections in products of families of elliptic curves and the multiplicative group / Barroero, F.; Capuano, L.. - In: QUARTERLY JOURNAL OF MATHEMATICS. - ISSN 0033-5606. - 68:4(2017), pp. 1117-1138. [10.1093/qmath/hax014]
Titolo: | Unlikely intersections in products of families of elliptic curves and the multiplicative group | |
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Data di pubblicazione: | 2017 | |
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Digital Object Identifier (DOI): | http://dx.doi.org/10.1093/qmath/hax014 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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http://hdl.handle.net/11583/2790205