Birational boundedness of some Calabi-Yau hypersurfaces

開催日時
2021/01/13 水 13:30 - 14:30
講演者
佐野太郎
講演者所属
神戸大学
概要

It is well-known that complex projective K3 surfaces are connected by analytic deformations, but they are algebraically unbounded.
Nevertheless, we show that anticanonical K3 surfaces in rationally connected 3-folds form a birationally bounded family.
We also exhibit examples of K3 surfaces of a fixed degree whose birational contractions form an unbounded family, thus the birational boundedness is optimal in a sense.