1 citations · 4 across the 12 of their papers we have counts for
13 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…
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.
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 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…
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…
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…
Rigid analytic Stein algebraic groups are affine
Marco Maculan
Let be a complete non-trivially valued non-Archimedean field. Given an algebraic group over on which every regular function is constant, any rigid analytic function is show…
Notions of Stein spaces in non-archimedean geometry
Marco Maculan, Jérôme Poineau
Let be a non-archimedean complete valued field and be a -analytic space in the sense of Berkovich. In this note, we prove the equivalence between three properties: 1) fo…
Maximality of hyperspecial compact subgroups avoiding Bruhat-Tits theory
Marco Maculan
Let be a complete non-archimedean field (non trivially valued). Given a reductive -group , we prove that hyperspecial subgroups of (i.e. those arising from reducti…
Height on GIT quotients and Kempf-Ness theory
Marco Maculan
In this paper we study heights on quotient varieties in the sense of Geometric Invariant Theory (GIT). We generalise a construction of Burnol and we generalise diverse lower bounds…
Geometric Invariant Theory and Roth's Theorem
Marco Maculan
We present a proof of Thue-Siegel-Roth's Theorem (and its more recent variants, such as those of Lang for number fields and that "with moving targets" of Vojta) as an application o…