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Computations with equivariant toric vector bundles. (English) Zbl 1311.14049
Summary: 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.

MSC:
14M25 Toric varieties, Newton polyhedra, Okounkov bodies
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
14J60 Vector bundles on surfaces and higher-dimensional varieties, and their moduli
14Q99 Computational aspects in algebraic geometry
14-04 Software, source code, etc. for problems pertaining to algebraic geometry
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