31 citations · 121 across the 17 of their papers we have counts for
17 papers
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…
Chern class inequalities for non-uniruled projective varieties
Erwan Rousseau, Behrouz Taji
It is known that projective minimal models satisfy the celebrated Miyaoka-Yau inequalities. In this article, we extend these inequalities to the set of all smooth, projective and n…
Arakelov inequalities in higher dimensions
Sándor J Kovács, Behrouz Taji
We develop a Hodge theoretic invariant for families of projective manifolds that measures the potential failure of an Arakelov-type inequality in higher dimensions, one that natura…
Hodge sheaves underlying flat projective families
Sándor J. Kovács, Behrouz Taji
We show that, for any fixed weight, there is a natural system of Hodge sheaves, whose Higgs field has no poles, arising from a flat projective family of varieties parametrized by a…
Birational geometry of smooth families of varieties admitting good minimal models
Behrouz Taji
In this paper we study families of projective manifolds with good minimal models. After constructing a suitable moduli functor for polarized varieties with canonical singularities,…
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…
Brody hyperbolicity of base spaces of certain families of varieties
Mihnea Popa, Behrouz Taji, Lei Wu
We prove that quasi-projective base spaces of smooth families of minimal varieties of general type with maximal variation do not admit Zariski dense entire curves. We deduce the fa…
Nonabelian Hodge Theory for klt spaces and descent theorems for vector bundles
Daniel Greb, Stefan Kebekus, Thomas Peternell +1
We generalise Simpson's nonabelian Hodge correspondence to the context of projective varieties with klt singularities. The proof relies on a descent theorem for numerically flat ve…
Hyperbolicity of singular spaces
Benoit Cadorel, Erwan Rousseau, Behrouz Taji
We study the hyperbolicity of singular quotients of bounded symmetric domains. We give effective criteria for such quotients to satisfy Green-Griffiths-Lang's conjectures in both a…
Orbifold Stability and Miyaoka-Yau Inequality for minimal pairs
Henri Guenancia, Behrouz Taji
After establishing suitable notions of stability and Chern classes for singular pairs, we use Kähler-Einstein metrics with conical and cuspidal singularities to prove the slope sem…
Generic positivity and applications to hyperbolicity of moduli spaces
Benoît Claudon, Stefan Kebekus, Behrouz Taji
The proof of the celebrated Viehweg's hyperbolicity conjecture is a consequence of two remarkable results: Viehweg and Zuo's existence results for global pluri-differential forms i…
Uniformisation of higher-dimensional minimal varieties
Daniel Greb, Stefan Kebekus, Behrouz Taji
After a historical discussion of classical uniformisation results for Riemann surfaces, of problems appearing in higher dimensions, and of uniformisation results for projective man…
The Miyaoka-Yau inequality and uniformisation of canonical models
Daniel Greb, Stefan Kebekus, Thomas Peternell +1
We establish the Miyaoka-Yau inequality in terms of orbifold Chern classes for the tangent sheaf of any complex projective variety of general type with klt singularities and nef ca…
A characterization of finite quotients of Abelian varieties
Steven Lu, Behrouz Taji
In this paper we prove a characterization of quotients of Abelian varieties by the actions of finite groups that are free in codimension-one via some vanishing conditions on the or…
The isotriviality of families of canonically-polarized manifolds over a special quasi-projective base
Behrouz Taji
In this paper we prove that a smooth family of canonically polarized manifolds parametrized by a special (in the sense of Campana) quasi-projective variety is isotrivial.
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^…