Видеотека: Alexei Golota, On entire holomorphic maps tangent to foliations on threefolds

ВИДЕОТЕКА


Workshop on birational geometry 30 октября 2018 г. 18:00, Москва, Лаборатория алгебраической геометрии и ее приложений, Национальный исследовательский университет «Высшая школа экономики»

On entire holomorphic maps tangent to foliations on threefolds Alexei Golota HSE
https://youtu.be/5T3C1OEXdC8 Аннотация: We consider complex projective threefolds endowed with a codimension one holomorphic foliation. Let us assume that there exists a holomorphic map from $\mathbb{C}^2$ to our threefold such that its image is Zariski dense and tangent to the foliation. Under these assumptions we want to study the implications for the birational geometry of the threefold. The main conjecture is that the threefold cannot be of general type. This statement can be seen as a particular instance of the Green–Griffiths–Lang conjecture as well as a generalization of a celebrated result of M. McQuillan from 1998. In my talk I will describe a new strategy towards the above conjecture, based on the study of positivity of the conormal bundle to the foliation Язык доклада: английский