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Tr. Mat. Inst. Steklova, 2009, Volume 264, Pages 137–151
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This article is cited in 6 scientific papers (total in 6 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.
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Proceedings of the Steklov Institute of Mathematics, 2009, 264, 131–145
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UDC:
512.7
Received in June 2008
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Citation:
S. Mori, Yu. G. Prokhorov, “Multiple Fibers of del Pezzo Fibrations”, Multidimensional algebraic geometry, Collected papers. Dedicated to the Memory of Vasilii Alekseevich Iskovskikh, Corresponding Member of the Russian Academy of Sciences, Tr. Mat. Inst. Steklova, 264, MAIK Nauka/Interperiodica, Moscow, 2009, 137–151; Proc. Steklov Inst. Math., 264 (2009), 131–145
Citation in format AMSBIB
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\serial Tr. Mat. Inst. Steklova
\yr 2009
\vol 264
\pages 137--151
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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Citing articles on Google Scholar:
Russian citations,
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This publication is cited in the following articles:
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Prokhorov Yu., “$\mathbb Q$-Fano threefolds of large Fano index, I”, Doc. Math., 15 (2010), 843–872
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Prokhorov Yu., “Simple Finite Subgroups of the Cremona Group of Rank 3”, J. Algebr. Geom., 21:3 (2012), 563–600
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Cheltsov I., Shramov C., “Five Embeddings of One Simple Group”, Trans. Am. Math. Soc., 366:3 (2014), 1289–1331
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Birkar C., “Singularities on the base of a Fano type fibration”, J. Reine Angew. Math., 715 (2016), 125–142
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Yuri Prokhorov, Constantin Shramov, “Jordan constant for Cremona group of rank $3$”, Mosc. Math. J., 17:3 (2017), 457–509
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K. V. Loginov, “On Nonrational Fibers of del Pezzo Fibrations over Curves”, Math. Notes, 106:6 (2019), 930–939
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