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NON-RATIONALITY OF THE S6-SYMMETRIC QUARTIC THREEFOLDS

By Arnaud Beauville

Abstract

ABSTRACT. We prove that the quartic hypersurfaces defined by P xi = t P x 4 i − (P x 2 i)2 = 0 in P 5 are not rational for t = 0, 2, 4, 6, 10 7 · 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.309.5492
Provided by: CiteSeerX
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