164 citations · 450 across the 18 of their papers we have counts for
15 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…
KSB stability is automatic in codimension 3
János Kollár, Sándor J Kovács
KSB stability holds at codimension 1 points trivially, and it is quite well understood at codimension 2 points, since we have a complete classification of 2-dimensional slc singula…
Du Bois property of log centers
János Kollár, Sándor J Kovács
In this note we generalize the results of [KK10] and [KK20] by showing that if a closed subset V of X is "close enough" to being a union of log canonical centers, then it is Du Boi…
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…
On positivity and base loci of vector bundles
Thomas Bauer, Sándor J Kovács, Alex Küronya +3
The aim of this note is to shed some light on the relationships among some notions of positivity for vector bundles that arose in recent decades. Our purpose is to study several of…
Differential Forms on Log Canonical Spaces
Daniel Greb, Stefan Kebekus, Sandor J. Kovacs +1
The present paper is concerned with differential forms on log canonical varieties. It is shown that any p-form defined on the smooth locus of a variety with canonical or klt singul…