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

Izv. Akad. Nauk SSSR Ser. Mat., 1989 Volume 53, Issue 4, Pages 753–770 (Mi im1272)

This article is cited in 8 papers

On the geometry of moduli spaces of vector bundles over a Riemann surface

P. G. Zograf, L. A. Takhtadzhyan


Abstract: This article investigates various properties of a natural Kähler metric on the space of moduli of stable vector bundles over a compact Riemann surface, of the Narasimhan–Seshadri connection, and of the curvature form of a canonical line bundle.
Bibliography: 22 titles.

UDC: 513.8

MSC: Primary 53C55; Secondary 14C35, 14J15, 14M12, 30F10, 32G15, 32L10, 58G12

Received: 02.11.1987


 English version:
Mathematics of the USSR-Izvestiya, 1990, 35:1, 83–100

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