3 citations · 6 across the 12 of their papers we have counts for
13 papers · 1 filter
Algebraic Hodge generic points are dense
Gregorio Baldi, Gal Binyamini, David Urbanik
Let be a quasi-projective family of varieties defined over . We show that the points of that are H…
Intersections and the Bézout Range: Abelian Varieties
Gregorio Baldi, David Urbanik
Given subvarieties of a complex algebraic variety of complementary dimension, must they intersect? When is projective space, this is a consequence of the classical B…
Galois Orbit Bounds for Surface Degenerations
David Urbanik
Given a smooth proper family of surfaces over a number field , with an irreducible curve and its generic point, we consider the gen…
On the Complexity of Atypical Special Points
David Urbanik
Given an integral variation of Hodge structure on a complex algebraic variety , polarized by some bilinear form ,…
Degrees of Hodge Loci
David Urbanik
We prove asymptotic estimates for the growth in the degree of the Hodge locus in terms of arithmetic properties of the integral vectors that define it. Our methods are general and…
Effective atypical intersections and applications to orbit closures
Gregorio Baldi, David Urbanik
We propose a unifying setting for dealing with monodromically atypical intersections that goes beyond the usual Zilber-Pink conjecture. In particular we obtain a new proof of finit…