“Holomorphic tangent vector fields in compact Kaehler manifolds”
Martedì 17 Febbraio 2026, ore 14:30 - Aula 2AB45 - Jaume Amoros Torrent (Universitat Politècnica de Catalunya)
Abstract
The existence of holomorphic tangent vector fields is a very particular feature in complex projective manifolds. The birational classification of such manifolds was established by F. Severi, R. Hall and D. Lieberman. Using holomorphic foliation techniques and Kuranishi deformation theory, one may find the biholomorphic classification of such manifolds, and the classification up to deformation of complex structure in the compact Kaehler case. A consequence is that the study of the dynamics of holomorphic tangent fields in compact Kaehler manifolds reduces to the case of rational varieties.
