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On Nonrational Fibers of del Pezzo Fibrations over Curves
Authors:Loginov  K V
Institution:1.Laboratory of Algebraic Geometry, Faculty of Mathematics, National Research University Higher School of Economics, Moscow, 101000, Russia
;2.Independent University of Moscow, Moscow, 119002, Russia
;
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:
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