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Journal of Software for Algebra and Geometry
Article . 2010 . Peer-reviewed
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Computations with equivariant toric vector bundles

Authors: René Birkner; Nathan Ilten; Lars Petersen;

Computations with equivariant toric vector bundles

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
bronze