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A cohomological classification of vector bundles on smooth affine threefolds
cohomological classification vector bundles smooth affine threefolds Algebraic Geometry
2012/4/23
We give a cohomological classification of vector bundles on smooth affine threefolds over algebraically closed fields having characteristic unequal to 2. As a consequence, if A is a smooth affine alge...
Abstract: Over a scheme with 2 invertible, we show that a vector bundle of rank four has a sub or quotient line bundle if and only if the canonical symmetric bilinear form on its exterior square has a...
Abstract: We study a filtered generalization of the operation of elementary modification of vector bundles. The generalization is motivated by applications to the degeneration theory of linear systems...