1. ON THE DERIVED CATEGORY ANDK-FUNCTOR OF COHERENT SHEAVES ON INTERSECTIONS OF QUADRICS
- Author
-
M M Kapranov
- Subjects
Derived category ,Pure mathematics ,Functor ,Complete intersection ,Clifford algebra ,General Medicine ,Parameter space ,Coherent sheaf ,Algebra ,Mathematics::Algebraic Geometry ,Intersection ,Mathematics::Category Theory ,Bibliography ,Mathematics - 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. Bernshteĭn, 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.
- Published
- 1989
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