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Locally conformally Kähler structures on complex spaces

Ovidiu Preda (Institute of Mathematics of the Romanian Academy)
Tuesday 7 June 2022 11:00–12:00 D01 (1531-011)
Mathematics Seminar

We define locally conformally Kähler (lcK) structures on complex spaces (with singularities) and prove that two fundamental results of lcK geometry of complex manifolds remain true, under reasonable conditions, in the context of complex spaces: the characterization theorem, and Vaisman’s theorem about the compatibility of an lcK and a Kähler structure.

This is a joint work with Miron Stanciu.

Organised by: Mathematics Group
Contact: Zakarias Sjöström Dyrefelt Revised: 25.05.2023