12 citations · 18 across the 7 of their papers we have counts for
7 papers
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…
The cone of curves of K3 surfaces revisted
Sándor J Kovács
The main theorem of "S. J. Kovács: The cone of curves of a K3 surface, Math. Ann. 300 (1994), no. 4, 681-691" is proved in arbitrary characteristic. The proof is essentially the sa…
Steenbrink vanishing extended
Sándor J Kovács
The notion of DB index, a measure of how far a singularity of a pair is from being Du Bois, is introduced and used to generalize vanishing theorems of Steenbrink and others with si…
The intuitive definition of Du Bois singularities
Sándor J Kovács
It is proved that for projective varieties having Du Bois singularities is equivalent to the condition that the coherent cohomology groups of the structure sheaf coincide with the…
The splitting principle and singularities
Sándor J Kovács
The splitting principle states that morphisms in a derived category do not "split" accidentally. This has been successsfully applied in several characterizations of rational, DB, a…
Singularities of stable varieties
Sándor J. Kovács
This is a survey on recent results regarding singularities that occur on higher dimensional stable varieties.
The structure of surfaces mapping to the moduli stack of canonically polarized varieties
Stefan Kebekus, Sandor J. Kovacs
Generalizing the well-known Shafarevich hyperbolicity conjecture, it has been conjectured by Viehweg that a quasi-projective manifold that admits a generically finite morphism to t…