Vol. 2, No. 1, 2010

Download this article
Download this article For screen
Recent Issues
Volume 7, Issue 1
Volume 6, Issue 1
Volume 5, Issue 1
Volume 4, Issue 1
Volume 3, Issue 1
Volume 2, Issue 1
Volume 1, Issue 1
The Journal
Cover
Editorial Board
Editors’ Addresses
About the Journal
Submission Guidelines
Submission Form
Editorial Login
Contacts
Computations with equivariant toric vector bundles

René Birkner, Nathan Owen Ilten and Lars Petersen

Vol. 2 (2010), 11–14
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.

Mathematical Subject Classification 2010
Primary: 14M25
Secondary: 14F05, 14Q99, 14-04
Supplementary material

ToricVectorBundles source code

Milestones
Received: 26 November 2009
Revised: 4 May 2010
Accepted: 15 June 2010
Authors
René Birkner
Mathematisches Institut
Freie Universität Berlin
Arnimallee 3
D-14195 Berlin
Germany
Nathan Owen Ilten
Mathematisches Institut
Freie Universität Berlin
Arnimallee 3
D-14195 Berlin
Germany
Lars Petersen
Mathematisches Institut
Freie Universität Berlin
Arnimallee 3
D-14195 Berlin
Germany