Non-rationality of the S_6-symmetric quartic threefolds

Arnaud Beauville (1)

1 JAD - Laboratoire Jean Alexandre Dieudonné

The quartic hypersurfaces in P^4 invariant under the standard representation of S_6 form a linear pencil. We prove that a general member of this pencil is not rational.

Domaines: Géométrie algébrique [math.AG]

Arnaud Beauville. Non-rationality of the S_6-symmetric quartic threefolds. Rendiconti del Seminario Matematico, 2013, 71 (3-4), pp.385-388. ⟨hal-01141575⟩