6 papers
-local systems from cubic threefolds
Thomas Krämer, Daniel Litt, Marco Maculan
We produce infinitely many local systems on (level covers of) the moduli space of smooth cubic threefolds, with algebraic monodromy group equal to the exceptional group . Thes…
Exceptional Tannaka groups only arise from cubic threefolds
Thomas Krämer, Christian Lehn, Marco Maculan
We show that under mild assumptions, the Fano surfaces of lines on smooth cubic threefolds are the only smooth subvarieties of abelian varieties whose Tannaka group for the convolu…
Arithmetic finiteness of very irregular varieties
Thomas Krämer, Marco Maculan
We prove the Shafarevich conjecture for very irregular varieties of dimension less than half the dimension of their Albanese variety, subject to some mild numerical conditions. Our…
Affine vs. Stein in rigid geometry
Marco Maculan, Jérôme Poineau
We investigate the relationship between affine and Stein varieties in the context of rigid geometry. We show that the two concepts are much more closely related than in complex geo…
The Shafarevich conjecture for varieties with globally generated cotangent
Thomas Krämer, Marco Maculan
We prove the Shafarevich conjecture for varieties with globally generated cotangent bundle, subject to mild numerical conditions.
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…