Abstract

The study of equivariant vector bundles on a toric variety can yield important geometric information about the underlying variety. The package ToricVectorBundles facilitates calculations with such equivariant vector bundles. This package implements two complimentary descriptions of vector bundles and allows for standard operations such as dualizing, direct sums, and tensor, symmetric, and wedge products. Furthermore, ToricVectorBundles contains two procedures for calculating the graded cohomology groups of an equivariant vector bundle. THE PACKAGE AND ITS APPLICATIONS. When studying vector bundles on a toric variety, it is natural to first restrict attention to those bundles which are equivariant with respect to the torus

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