6 citations · 18 across the 8 of their papers we have counts for
9 papers · 1 filter
A correction to: Rational and nearly rational varieties
János Kollár, Karen E. Smith, Alessio Corti
We correct a misattribution in our book.
Seifert -bundles
János Kollár
A Seifert bundle over a variety X is a variety Y with a proper action of the multiplicative group such that the quotient is X. The topological version of this notion (using circle…
Conics in the Grothendieck ring
János Kollár
This note describes the subring of the Grothendieck ring of k-varieties generated by smooth conics; finding many zero divisors. The proof uses only elementary projective geometry.
The Nash problem on arc families of singularities
Shihoko Ishii, János Kollár
Nash proved that every irreducible component of the space of arcs through a singularity corresponds to an exceptional divisor that occurs on every resolution. He asked if the conve…
Rationally connected varieties over finite fields
János Kollár, Endre Szabó
Let X be a geometrically rational (or more generally, separably rationally connected) variety over a finite field K. We prove that if K is large enough then X contains many rationa…
Rational Curves on Varieties
Carolina Araujo, János Kollár
The aim of these notes is to give a introduction to the ideas and techniques of handling rational curves on varieties. The main emphasis is on varieties with many rational curves w…