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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2011, Issue 2(83), Pages 26–37 (Mi vsgu45)  
Mathematics

The cohomological birational invariants for 4-dimensional tori

Yu. Yu. Krutikov, S. Yu. Popov

Samara State University
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Abstract: This paper is the first systematic step to obtain the birational classification of 4-dimensional tori. All the cohomological birational invariants of this tori are calculated. All the 4-dimensional tori with nontrivial invariants are described.
Keywords: algebraic torus, birational invariant, cohomology, flasque resolution, birational classification.
Received: 26.06.2010
Revised: 26.06.2010
Document Type: Article
UDC: 512.7
Language: Russian
Citation: Yu. Yu. Krutikov, S. Yu. Popov, “The cohomological birational invariants for 4-dimensional tori”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011, no. 2(83), 26–37
Citation in format AMSBIB
\Bibitem{KruPop11}
\by Yu.~Yu.~Krutikov, S.~Yu.~Popov
\paper The cohomological birational invariants for 4-dimensional tori
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2011
\issue 2(83)
\pages 26--37
\mathnet{http://mi.mathnet.ru/vsgu45}
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    		Вестник Самарского государственного университета. Естественнонаучная серия
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