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Bull. Korean Math. Soc. 2017; 54(5): 1619-1625

Online first article July 20, 2017      Printed September 30, 2017

https://doi.org/10.4134/BKMS.b160682

Copyright © The Korean Mathematical Society.

A simple proof of the non-rationality of a general quartic double solid

Yuri Prokhorov

National Research University Higher School of Economics

Abstract

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The aim of this short note is to give a simple proof of the non-rationality of the double cover of the three-dimensional projective space branched over a sufficiently general quartic.

Keywords: double solid, intermediate Jacobian, Torelli theorem

MSC numbers: 14E08, 14J30, 14J45, 14J50

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