6 citations · 8 across the 3 of their papers we have counts for
8 papers · 1 filter
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…
Fixed points of group actions and rational maps
János Kollár, Endre Szabó
The aim of this note is to give simple proofs of some results of Reichstein and Youssin (math.AG/9903162) about the behaviour of fixed points of finite group actions under rational…
Rationally connected varieties over local fields
János Kollár
Let X be a smooth, projective variety defined over a local field K. Following Manin, two K-points of X are called R-equivalent if they can be joined by a rational curve defined ove…