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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 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

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.

UDC: 512.7

Received: 26.06.2010
Revised: 26.06.2010



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