Видеотека: A. V. Pukhlikov, Rationally connected rational double covers of primitive Fano varieties

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Однодневная конференция памяти В. А. Исковских 22 декабря 2020 г. 13:30, г. Москва, МИАН

Rationally connected rational double covers of primitive Fano varieties A. V. Pukhlikov
Аннотация: We show that for a Zariski general hypersurface $V$ of degree $M+1$ in ${\mathbb P}^{M+1}$ for $M\geqslant 5$ there are no Galois rational covers $X\dashrightarrow V$ with an abelian Galois group, where $X$ is a rationally connected variety. In particular, there are no rational maps $X\dashrightarrow V$ of degree 2 with $X$ rationally connected. This fact is true for many other families of primitive Fano varieties as well and motivates a conjecture on absolute rigidity of primitive Fano varieties. Язык доклада: английский Website: https://mi-ras-ru.zoom.us/j/93049469322?pwd=bmNVaGhpMXFWU1QzbWcwa2RvblVGdz09 ^* Meeting ID: 930 4946 9322Пароль: 251604