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On non-rational fibers of del Pezzo fibrations over curves (1811.04418v2)
Published 11 Nov 2018 in math.AG
Abstract: 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.
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