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SUMMARY:Aleksandr Pukhlikov (University of Liverpool)
DTSTART:20201110T150000Z
DTEND:20201110T160000Z
DTSTAMP:20260423T021407Z
UID:ZAG/67
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/67/">Rat
 ionally connected rational double covers of primitive Fano varieties</a>\n
 by Aleksandr Pukhlikov (University of Liverpool) as part of ZAG (Zoom Alge
 braic Geometry) seminar\n\n\nAbstract\nWe 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 abeli
 an Galois group\, where $X$ is a rationally connected variety. In particul
 ar\, there are no rational maps $X\\dashrightarrow V$ of degree 2 with $X$
  rationally connected. This fact is true for many other families of primit
 ive Fano varieties as well and motivates a conjecture on absolute rigidity
  of primitive Fano varieties.\n
LOCATION:https://researchseminars.org/talk/ZAG/67/
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