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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1984 Volume 48, Issue 3, Pages 631–654 (Mi im1460)

This article is cited in 5 papers

Zero-cycles on rational surfaces and Néron–Severi tori

B. È. Kunyavskii, M. A. Tsfasman


Abstract: Birational and arithmetic properties of the algebraic torus dual to the Picard module of a rational surface are studied. The results are used to estimate the order of the group of classes of 0-cycles of degree zero modulo rational equivalence.
Bibliography: 20 titles.

UDC: 512.774.7

MSC: 14J25, 14E05, 14C25

Received: 30.06.1982


 English version:
Mathematics of the USSR-Izvestiya, 1985, 24:3, 583–603

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