4 papers
Murphy's law in non-abelian Hodge theory
Gregorio Baldi, Yeuk Hay Joshua Lam
We construct explicit examples of non-integral variations of -Hodge structures. Our approach leverages Fenchel--Nielsen-type parameterizations, due to Kabaya and Maskit…
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…
Automorphisms of the moduli space of smooth cubic surfaces and its fundamental group
Gregorio Baldi, Benson Farb, Ariyan Javanpeykar +1
Let be the moduli space of smooth complex cubic surfaces and let be its (orbifold) fundamental group. We prove that the ``divisor subgroup'' of $Ï…
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…