2 papers
math.AG2018
Families of curves with Higgs field of arbitrarily large kernel
Víctor González-Alonso, Sara Torelli
In this note we consider the flat bundle U and the kernel K of the Higgs field naturally associated to any (polarized) variation of Hodge structures of weight 1. We study how stric…
math.AG2012
A generalization of the Castelnuovo-de Franchis inequality
Víctor González-Alonso
We give a lower bound on the Hodge number h^{2,0}(X), where X is an irregular compact Kähler (or smooth complex projective) variety, in terms of the minimal rank of an element in t…