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Non-rationality of the symmetric sextic Fano threefold

Abstract : We give a simple proof of the non-rationality of the Fano threefold defined by the equations ∑ x_i = ∑ x_i^2 = ∑ x_i^3 = 0 in P^6 .
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https://hal.archives-ouvertes.fr/hal-00756780
Contributor : Arnaud Beauville <>
Submitted on : Friday, November 23, 2012 - 4:55:01 PM
Last modification on : Monday, October 12, 2020 - 10:27:29 AM

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  • HAL Id : hal-00756780, version 1
  • ARXIV : 1102.1255

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Arnaud Beauville. Non-rationality of the symmetric sextic Fano threefold. Faber, Farkas, de Jong. Geometry and Arithmetic, European Mathematical Society, pp.57-60, 2012, Series of Congress Reports, 978-3-03719-119-4. ⟨hal-00756780⟩

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