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| TITLE | Stable Rationality of del Pezzo Fibrations of Low Degree Over Projective Spaces |
|---|---|
| KIAS AUTHORS | Krylov, Igor |
| JOURNAL | INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2020 |
| ARCHIVE | |
| ABSTRACT | The main aim of this article is to show that a very general three-dimensional del Pezzo fibration of degrees 1, 2, and 3 is not stably rational except for a del Pezzo fibration of degree 3 belonging to explicitly described two families. Higher-dimensional generalizations are also discussed and we prove that a very general del Pezzo fibration of degrees 1, 2, and 3 defined over the projective space is not stably rational provided that the anti-canonical divisor is not ample. |
