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

Izv. Akad. Nauk SSSR Ser. Mat., 1989 Volume 53, Issue 5, Pages 1001–1039 (Mi im1285)

This article is cited in 46 papers

Equivariant bundles on toral varieties

A. A. Klyachko


Abstract: Equivariant bundles on toral varieties are described in terms of filtrations which arise canonically in the fiber over a fixed point. The cohomology groups and characteristic classes are computed in terms of these filtrations, and problems of linear algebra which arise from them are discussed.
Bibliography: 20 titles.

UDC: 512.7

MSC: 14F05, 14L32

Received: 03.02.1988


 English version:
Mathematics of the USSR-Izvestiya, 1990, 35:2, 337–375

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