6 citations · 8 across the 3 of their papers we have counts for
13 papers
Einstein metrics on 5-dimensional Seifert bundles
János Kollár
The aim of this paper is to study Seifert bundle structures on simply connected 5--manifolds. We classify all such 5--manifolds which admit a Seifert bundle structure, and in a few…
Einstein Metrics on Exotic Spheres in Dimensions 7, 11, and 15
Charles P. Boyer, Krzysztof Galicki, János Kollár +1
In a recent article the first three authors proved that in dimension all homotopy spheres that bound parallelizable manifolds admit Einstein metrics of positive scalar curva…
Specialization of zero cycles
János Kollár
The paper has two parts. First we prove that the specialization maps on R-equivalence and on the Chow group of zero cycles are isomorphisms for families over a local, Henselian, De…
Rationally connected varieties and fundamental groups
János Kollár
Let U be an open subset of a unirational variety (or more generally of a separably rationally connected variety). We prove that there is rational curve C in U such that the fundame…
Fano hypersurfaces in weighted projective 4-spaces
Jennifer M. Johnson, János Kollár
We determine the complete list of anticanonically embedded quasi smooth log Fano 3-folds in weighted projective 4-spaces. This implies that the Reid-Fletcher list of 95 types of an…
Unirationality of cubic hypersurfaces
János Kollár
Segre proved that a smooth cubic surface over Q is unirational iff it has a rational point. We prove that the result also holds for cubic hypersurfaces over any field, including fi…