4 citations · 9 across the 10 of their papers we have counts for
10 papers
Higher direct images of dualizing sheaves III
János Kollár, Sándor J. Kovács
We show that for flat morphisms between varieties with rational singularities, the higher direct images of the structure sheaf are locally free. As a consequence, the identity comp…
Birational equivalence of Severi-Brauer varieties
János Kollár
We prove Amitsur's conjecture for Severi-Brauer varieties whose index is not a prime power.
KSB smoothings of surface pairs
János Kollár
We describe KSB smoothings of log canonical surface pairs , where is a reduced curve. In sharp contrast with the case, cyclic quotient pairs always have K…
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…
Stable maps of curves and algebraic equivalence of 1-cycles
János Kollár, Zhiyu Tian
We show that algebraic equivalence of images of stable maps of curves lifts to deformation equivalence of the stable maps. The main applications concern , the group of 1-cy…
Automorphisms and twisted forms of rings of invariants
János Kollár
Let be a finite subgroup and its ring of invariants. We show that, in many cases, the automorphism group of $k[x_1…