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VIDEO LIBRARY |
The 27th International Conference on Finite and Infinite Dimensional Complex Analysis and Applications
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Adiabatic Limit and Deformations of Complex Structures D. Popovici Université Paul Sabatier, Toulouse |
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Abstract: We prove that if all the fibres, except possibly one, in a holomorphic family of compact complex manifolds are Moishezon (i.e. bimeromorphically equivalent to projective manifolds), then the remaining, limiting, fibre is again Moishezon. Two new ingredients are introduced for this purpose. The first one is the Frölicher Approximating Vector Bundle (FAVB) that displays the degenerating page of the Fröilicher spectral sequence as the limit, when a complex constant Language: English |