Cellular sheaf cohomology in Polymake
Algebraic Geometry
2017-01-02 v1
Abstract
This chapter provides a guide to our polymake extension cellularSheaves. We first define cellular sheaves on polyhedral complexes in Euclidean space, as well as cosheaves, and their (co)homologies. As motivation, we summarise some results from toric and tropical geometry linking cellular sheaf cohomologies to cohomologies of algebraic varieties. We then give an overview of the structure of the extension cellularSheaves for polymake. Finally, we illustrate the usage of the extension with examples from toric and tropical geometry.
Cite
@article{arxiv.1612.09526,
title = {Cellular sheaf cohomology in Polymake},
author = {Lars Kastner and Kristin Shaw and Anna-Lena Winz},
journal= {arXiv preprint arXiv:1612.09526},
year = {2017}
}
Comments
20 pages