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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.AG2022
Smooth hypersurfaces in abelian varieties over arithmetic rings
Ariyan Javanpeykar, Siddharth Mathur
Let be an abelian scheme of dimension at least four over a -finitely generated integral domain of characteristic zero, and let be an ample line bundle on $A…
math.AG2022★ 1 cited
Hilbert irreducibility for varieties with a nef tangent bundle
Ariyan Javanpeykar
We prove a fibration property for varieties with Hilbert-type properties and give applications to rational points on varieties with nef tangent bundle.