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math.AG2022
The universal vector extension of an abeloid variety
Marco Maculan
Let be an abelian variety over a complete non-Archimedean field . The universal cover of the Berkovich space attached to reflects the reduction behaviour of . In this…
math.AG2022
The monodromy of families of subvarieties on abelian varieties
Ariyan Javanpeykar, Thomas Krämer, Christian Lehn +1
Motivated by recent work of Lawrence-Venkatesh and Lawrence-Sawin, we show that non-isotrivial families of subvarieties in abelian varieties have big monodromy when twisted by gene…
math.NT2022★ 1 cited
Counting integral points of bounded height on varieties with large fundamental group
Yohan Brunebarbe, Marco Maculan
The present note is devoted to an amendment to a recent paper of Ellenberg, Lawrence and Venkatesh. Roughly speaking, the main result here states the subpolynomial growth of the nu…