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This article is cited in 2 scientific papers (total in 2 papers)
On Nonrational Fibers of del Pezzo Fibrations over Curves
K. V. Loginov Laboratory of algebraic geometry and its applications, National Research University "Higher School of Economics" (HSE), Moscow
Abstract:
We consider threefold del Pezzo fibrations over a curve germ whose central fiber is nonrational. Under the additional assumption that the singularities of the total space are at worst ordinary double points, we apply a suitable base change and show that there is a one-to-one correspondence between such fibrations and certain nonsingular del Pezzo fibrations equipped with a cyclic group action.
Keywords:
Mori fibration, del Pezzo surface, rationality.
Received: 20.11.2018
Citation:
K. V. Loginov, “On Nonrational Fibers of del Pezzo Fibrations over Curves”, Mat. Zametki, 106:6 (2019), 881–893; Math. Notes, 106:6 (2019), 930–939
Linking options:
https://www.mathnet.ru/eng/mzm12257https://doi.org/10.4213/mzm12257 https://www.mathnet.ru/eng/mzm/v106/i6/p881
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Abstract page: | 252 | Full-text PDF : | 27 | References: | 21 | First page: | 11 |
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