Título: Rationally connected rational double covers of primitive Fano varieties

Palestrante: Aleksandr Pukhlikov (University of Liverpool)
Data: 10/11/2020
Horário: 15:00 GMT (12h BRT)
Local: Transmissão online.

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Resumo: 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.

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