Внеочередной семинар Лаборатории Алгебраической геометрии и ее приложений
Семинар состоится во вторник 5 марта 2013 года. Начало в 15:30.
Семинар будет проходить по адресу: ул. Вавилова, аудитория 317, 3 этаж.
На семинаре выступитRuxandra Moraru (Waterloo)С докладом:
|
The geometry of essentially saturated spaces
Abstract: A compact complex space X is called {\em essentially saturated} if and only if the components of the Douady space of each Cartesian power Xn are compact; these spaces are of special interest in geometric model theory because they are universal domains for their first-order theories. Examples of essentially saturated spaces are given by spaces of Fujiki class \mathcal{C} since the components of the Douady space of such spaces are always compact and the Cartesian product of two spaces of class \mathcal{C} is again of class \mathcal{C}. The class \mathcal{S} of essentially saturated spaces is thus a natural extension of the Fujiki class \mathcal{C}, and an interesting problem is to understand how these two classes differ. It is important to point out that not all compact complex spaces are essentially saturated; for example Hopf surfaces are not. Furthermore, one can show that there exist spaces of class \mathcal{S} that are not of class \mathcal{C}. In this talk, I will give examples of essentially saturated spaces that are not of Fujiki class \mathcal{C}$and discuss some open questions.
This is joint work with Rahim Moosa and Matei Toma.
Приглашаются все желающие!
