7 papers
Orbifold modifications of complex analytic spaces
János Kollár, Wenhao Ou
We show that a compact, complex analytic space has a bimeromorphic orbifold modification that is an isomorphism over the locally trivial orbifold locus of .
A converse of Cartan's Theorem B for Real Analytic Set
János Kollár
In this lecture we prove a converse to Cartan's Theorem B for real analytic sets, due to Fernando and Ghiloni [arXiv:2506.18347].
Abelian fiber spaces and their Tate-Shafarevich twists with sections
János Kollár
Starting with an Abelian fiber space, the aim is to construct a Tate-Shafarevich twist that has a rational section.
Cubic surfaces with infinite, discrete automorphism group
János Kollár, David Villalobos-Paz
We prove that the automorphism group of an affine, cubic surface with equation contains as a finite index subgroup. These equations were first studied by…
Log K3 surfaces with irreducible boundary
János Kollár
We determine the automorphism group of an open log K3 surface with irreducible boundary.
Log canonical singularities of plurisubharmonic functions
Dano Kim, János Kollár
A plurisubharmonic weight is log canonical if it is at the critical point of turning non-integrable. Given a log canonical plurisubharmonic weight, we show that locally there alway…