Seminari del Dipartimento



Irrational Gushel-Mukai Threefolds

Giovanni Mongardi

25-03-2021 - 14:30
modalitĂ  telematica (telematic form)


We construct an explicit complex smooth Fano threefold with Picard numer 1, index 1 and degree 10 (a Gushel-Mukai threefold) and prove that it is not rational by showing that its intermediate jacobian has a faithful 

$mathrm{PSL}(2,F_{11})$ action. The construction is based on a very special double EPW sextic. This is joint work with O. Debarre.

org: Barbara Bolognese

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