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math.AG2024
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…
math.AG2024★ 1 cited
Effective atypical intersections and applications to orbit closures
Gregorio Baldi, David Urbanik
We propose a new unifying setting for dealing with monodromically atypical intersections that goes beyond the usual Zilber-Pink conjecture. In particular, we give a new proof of fi…