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Regular version of the site

Article

On Nonrational Fibers of del Pezzo Fibrations over Curves

Mathematical notes. 2019. Vol. 106. No. 6. P. 930-939.

We consider threefold del Pezzo fibrations over a curve germ whose central fiber is non-rational. 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 1-to-1 correpspondence between such fibrations and certain non-singular del Pezzo fibrations equipped with a cyclic group action.