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Non-rationality of the S_6-symmetric quartic threefolds

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-01141575
Contributor : Arnaud Beauville <>
Submitted on : Monday, April 13, 2015 - 12:00:00 PM
Last modification on : Monday, October 12, 2020 - 10:27:25 AM

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  • HAL Id : hal-01141575, version 1
  • ARXIV : 1212.5345

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

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