Nonrational Weighted Hypersurfaces
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AbstractThe aim of this paper is to construct (i) infinitely many families of nonrational ℚ-Fano varieties of arbitrary dimension ≥ 4 with at most quotient singularities, and (ii) twelve families of nonrational 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].
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2018 ◽
Vol 154
(6)
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pp. 1131-1158
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2010 ◽
Vol 62
(6)
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pp. 1293-1309
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2017 ◽
Vol 2017
(730)
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2018 ◽
Vol 2018
(743)
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pp. 91-131
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