3 citations · 3 across the 3 of their papers we have counts for
5 papers
Unlikely Intersections with Bruhat Strata
David Urbanik
Let be the moduli space of -dimensional principally polarized abelian varieties over , and let be a closed lo…
Effective Methods for Diophantine Finiteness
David Urbanik
Let be a number field, and let be its ring of -integers. Recently, Lawrence and Venkatesh proposed a general…
On the Transcendence of Period Images
David Urbanik
Let be a family of smooth projective algebraic varieties over a smooth connected base , with everything defined over . Denote by $\mathbb{V}…
On the fields of definition of Hodge loci
Bruno Klingler, Anna Otwinowska, David Urbanik
A polarizable variation of Hodge structure over a smooth complex quasi projective variety is said to be defined over a number field if and the algebraic connection asso…
Explicit Rational Group Law on Hyperelliptic Jacobians of any Genus
David Urbanik
It is well-known that abelian varieties are projective, and so that there exist explicit polynomial and rational functions which define both the variety and its group law. It is ho…