Which quartic double solids are rational?
We study the rationality problem for nodal quartic double solids. In particular, we prove that nodal quartic double solids with at most six singular points are irrational and nodal quartic double solids with at least eleven singular points are rational.
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| Veröffentlicht in: | Journal of algebraic geometry 2019-04, Vol.28 (2), p.201-243 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We study the rationality problem for nodal quartic double solids. In particular, we prove that nodal quartic double solids with at most six singular points are irrational and nodal quartic double solids with at least eleven singular points are rational. |
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| ISSN: | 1056-3911 1534-7486 |
| DOI: | 10.1090/jag/730 |