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Locally conformally Kähler threefolds of algebraic dimension $2$

Daniele Angella (Università di Firenze)
Thursday 16 June 2022 13:00–14:00 Koll. G (1532-214)
Mathematics Seminar

In this talk, we describe the structure of complex threefolds with algebraic dimension $2$ in the case when they admit a metric that is locally conformal to Kähler metrics. In particular, we show that, under mild assumptions, every such manifold is essentially an elliptic fibration over a compact projective surface with isomorphic fibers.

The talk is a joint collaboration with Maurizio Parton and Victor Vuletescu.

Organised by: Mathematics Group
Contact: Cristiano Spotti Revised: 25.05.2023