4 papers · 1 filter
The relative Du Bois complex -- on a question of S. Zucker
Sándor J Kovács, Behrouz Taji
In this paper we are making the first step toward answering a question posed by Steven Zucker at a JAMI conference at Johns Hopkins University in 1996, organized by Vyacheslav Shok…
On the Kodaira dimension of base spaces of families of manifolds
Behrouz Taji
We prove that the variation in a smooth projective family of varieties admitting a good minimal model forms a lower bound for the Kodaira dimension of the base, if the dimension of…
Harmonic metrics on Higgs sheaves and uniformization of varieties of general type
Daniel Greb, Stefan Kebekus, Thomas Peternell +1
We prove a criterion for the existence of harmonic metrics on Higgs bundles that are defined on smooth loci of klt varieties. As one application, we resolve the quasi-etale uniform…
Birational positivity in dimension 4 (with an appendix by Frédéric Campana)
Behrouz Taji
In this paper we prove that for a nonsingular projective variety of dimension at most 4 and with non-negative Kodaira dimension, the Kodaira dimension of coherent subsheaves of $Ω^…