108 citations · 359 across the 71 of their papers we have counts for
73 papers · 1 filter
The topology of Kähler manifolds and 1-forms without zeros
Maurício Corrêa, János Kollár, Stefan Schreieder +1
We study how the topology and geometry of a compact Kähler manifold relate to the zeros of its one-forms. We determine all implications among several closely related conditions. In…
Homology fiber bundles of varieties, that are not topological fiber bundles
Maurício Corrêa, János Kollár
We construct flat, projective morphisms that are -homology fiber bundles, have a smooth total space, but are not smooth. This disproves one of the conjectures of the sec…
Invisible singularities in complex algebraic geometry
Maurício Corrêa, János Kollár, Stefan Schreieder +1
We construct morphisms between smooth complex projective varieties that have singular fibers, but look topologically smooth. We use this to give negative answers to the following f…
The log canonical threshold and rational singularities
Raf Cluckers, János Kollár, Mircea Mustaţă
We show that if is a nonzero, noninvertible function on a smooth complex variety and is the Jacobian ideal of , then if and only if the hype…
Comment on: Dense entire curves .. [arXiv:1905.01104], by F. Campana and J. Winkelmann
János Kollár
We construct dense holomorphic curves that do not lift to any ramified cover.
Seshadri's criterion and openness of projectivity
János Kollár
We prove that projectivity is an open condition for deformations of algebraic spaces with rational singularities. V.2: references updated and corrected.