Видеотека: К. А. Шрамов, Conic bundles

ВИДЕОТЕКА


Conference on Algebraic Geometry 28 июня 2022 г. 13:20, г. Москва, МИАН, конференц-зал, Zoom

Conic bundles C. A. Shramov^ab ^a National Research University "Higher School of Economics", Moscow ^b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Аннотация: Consider a conic bundle over a smooth incomplete curve $C$, i.e. a smooth surface $S$ with a proper surjective morphism to $C$ such that the push-forward of the structure sheaf of $S$ coincides with the structure sheaf of $C$, and the anticanonical class of $S$ is ample over $C$. I will tell about a necessary and sufficient condition for the existence of an extension of this conic bundle to the completion of $C$. The talk is based on a joint work in progress with V. Vologodsky. Язык доклада: английский