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Nonrationality of
nodal quartic threefolds
Kyusik Hong |
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Vol. 266 (2013), No. 1, 31–42
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Abstract |
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We prove the factoriality of every nodal quartic threefold with 13 singular points that contains neither planes nor quadric surfaces. As a corollary, any nodal quartic threefold with 13 singular points that contains neither planes nor quadric surfaces is nonrational. |
Keywords
factoriality, rationality, nodal quartic threefold
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Mathematical Subject Classification 2010
Primary: 14C20, 14J17, 14J30
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Milestones
Received: 29 April 2012
Revised: 14 November 2012
Accepted: 16 January 2013
Published: 23 September 2013
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Authors |
| Kyusik Hong | |
| Department of Mathematics and
Institute for Mathematical Science Konkuk University 1 Hwayang-Dong Gwangjin-Gu, Seoul 143-701 Republic of Korea |
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