6 papers · 1 filter
Isogeny rigidity under algebraic group actions and finite translation orbits
Paolo Dolce, Francesco Tropeano, Ekaterina Amerik
We study finite orbits generated by fibrewise translations on varieties carrying two abelian fibrations. Under natural dominance and generation hypotheses, non-isotriviality of the…
Degeneracy loci and unlikely intersections in abelian schemes
Fabrizio Barroero, Laura Capuano, Tangli Ge +1
Let be an abelian scheme over a normal quasi-projective variety over a number field, and let be a positive-dimensional subvarie…
Relative monodromy of ramified sections on abelian schemes
Paolo Dolce, Francesco Tropeano
Let's fix a complex abelian scheme of relative dimension , without fixed part, and having maximal variation in moduli. We show that the relative monodromy grou…
Monodromy of elliptic logarithms: some topological methods and effective results
Francesco Tropeano
We present some effective approaches in studying the relative monodromy group of elliptic logarithms with respect to periods of elliptic schemes. We provide explicit ways of constr…
Finite translation orbits on double families of abelian varieties (with an appendix by E. Amerik)
Ekaterina Amerik, Paolo Dolce, Francesco Tropeano
We study two families of -dimensional abelian varieties, induced by distinct rational maps defined on a common variety and mapping to two bases $\overlin…
Monodromy of double elliptic logarithms
Francesco Tropeano
We determine the relative monodromy group of abelian logarithms with respect to periods in the cases of fibered products of elliptic schemes. This gives rise to a result stronger t…