Video library: Yu. G. Prokhorov, Conic bundle structures on singular Fano $3$-folds

VIDEO LIBRARY


International conference “Number-theoretic aspects of linear algebraic groups and algebraic varieties: results and prospects” dedicated to 85-th anniversary of academician V.P. Platonov June 17, 2025 12:50, Moscow, Steklov Mathematical Institute

Conic bundle structures on singular Fano $3$-folds Yu. G. Prokhorov Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
https://vkvideo.ru/video-222947497_456239109 https://youtu.be/OPQZ1ZHXkAs Abstract: We discuss certain sufficient conditions of the existence of birational conic bundle structures on Fano $3$-folds with terminal singularities. As an application we prove non-rationality of some such Fano $3$-folds, which are very close to rational ones. Language: English