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Locally conformally Kähler structures on complex spaces

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

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