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Journal Article

Stable rationality of del Pezzo fibrations of low degree over projective spaces

MPS-Authors
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Krylov,  Igor
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.1093/imrn/rny252
(Publisher version)

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Fulltext (public)

arXiv:1701.08372.pdf
(Preprint), 522KB

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Citation

Krylov, I., & Okada, T. (2020). Stable rationality of del Pezzo fibrations of low degree over projective spaces. International Mathematics Research Notices, 2020(23), 9075-9119. doi:10.1093/imrn/rny252.


Cite as: https://hdl.handle.net/21.11116/0000-0006-9DE7-5
Abstract
The main aim of this article is to show that a very general 3-dimensional del
Pezzo fibration of degree 1,2,3 is not stably rational except for a del Pezzo
fibration of degree 3 belonging to explicitly described 2 families. Higher
dimensional generalizations are also discussed and we prove that a very general
del Pezzo fibration of degree 1,2,3 defined over the projective space is not
stably rational provided that the anticanonical divisor is not ample.