This article is cited in 11 papers

On the derived category and $K$-functor of coherent sheaves on intersections of quadrics

M. M. Kapranov


Abstract: A graded Clifford algebra connected with the complete intersection of several quadrics is considered. In terms of modules over this algebra, a description is given of the derived category of coherent sheaves and the Quillen $K$-functor of the intersection of quadrics, which generalizes the results of I. N. Bernshtein, I. M. Gel'fand, S. I. Gel'fand, and R. G. Swan. Here, ramified two-sheeted coverings of the parameter space arise in a natural way, the consideration of which is traditional for intersections of two or three quadrics.
Bibliography: 12 titles.

UDC: 513.6

MSC: Primary 14C35, 14F05, 13C10, 18F25, 14F20, 18D35, 18E30; Secondary 19D10, 11E88, 19G99, 16A03

Received: 14.04.1986

 English version: Mathematics of the USSR-Izvestiya, 1989, 32:1, 191–204

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