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2009 Nonrational weighted hypersurfaces
Takuzo Okada
Nagoya Math. J. 194: 1-32 (2009).

Abstract

The aim of this paper is to construct (i) infinitely many families of nonrational $\mathbb{Q}$-Fano varieties of arbitrary dimension $\ge 4$ with at most quotient singularities, and (ii) twelve families of nonrational $\mathbb{Q}$-Fano threefolds with at most terminal singularities among which two are new and the remaining ten give an alternate proof of nonrationality to known examples. These are constructed as weighted hypersurfaces with the reduction mod $p$ method introduced by Kollár [10].

Citation

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Takuzo Okada. "Nonrational weighted hypersurfaces." Nagoya Math. J. 194 1 - 32, 2009.

Information

Published: 2009
First available in Project Euclid: 17 June 2009

zbMATH: 1193.14018
MathSciNet: MR2536525

Subjects:
Primary: 14E08, 14J45
Secondary: 14J30, 14J70

Rights: Copyright © 2009 Editorial Board, Nagoya Mathematical Journal

JOURNAL ARTICLE
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Vol.194 • 2009
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