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: | |
本文献已被 SpringerLink 等数据库收录! |
|