2024/10/25 by Alberto Pipitone Federico, Federico, Alberto Pipitone · 1 citation
Physics and Astronomy · Mathematics · #Advanced Differential Geometry Research #Algebraic and Geometric Analysis #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.2410.19490
We prove that the general fiber of a compact hypercomplex twistor space with a Kähler fiber has no divisors nor curves. This is first used to prove that, under the same assumption, the trascendental degree of the field of meromoprhic functions is one. The same result allows to prove that these spaces admit no Kähler and not even pluriclosed metrics.