On the Kodaira problem for uniruled K\"ahler spaces
Algebraic Geometry
2020-11-05 v2 Complex Variables
Abstract
We discuss the Kodaira problem for uniruled K\"ahler spaces. Building on a construction due to Voisin, we give an example of a uniruled K\"ahler space such that every run of the -MMP immediately terminates with a Mori fibre space, yet does not admit an algebraic approximation. Our example also shows that for a Mori fibration, approximability of the base does not imply approximability of the total space.
Cite
@article{arxiv.1805.02277,
title = {On the Kodaira problem for uniruled K\"ahler spaces},
author = {Patrick Graf and Martin Schwald},
journal= {arXiv preprint arXiv:1805.02277},
year = {2020}
}
Comments
Final version, to appear in Arkiv f\"or Matematik