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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2009 Volume 264, Pages 137–151 (Mi tm814)

This article is cited in 13 papers

Multiple Fibers of del Pezzo Fibrations

S. Moria, Yu. G. Prokhorovb

a Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan
b Department of Algebra, Faculty of Mathematics, Moscow State University, Moscow, Russia

Abstract: We prove that a terminal three-dimensional del Pezzo fibration has no fibers of multiplicity $>6$. We also obtain a rough classification of possible configurations of singular points on multiple fibers and give some examples.

UDC: 512.7

Received in June 2008

Language: English


 English version:
Proceedings of the Steklov Institute of Mathematics, 2009, 264, 131–145

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