Computing GIT-fans with symmetry and the Mori chamber decomposition of $\bar{M}_{0,6}$
Algebraic Geometry
2020-10-16 v2 Commutative Algebra
Combinatorics
Abstract
We propose an algorithm to compute the GIT-fan for torus actions on affine varieties with symmetries. The algorithm combines computational techniques from commutative algebra, convex geometry and group theory. We have implemented our algorithm in the Singular library gitfan.lib. Using our implementation, we compute the Mori chamber decomposition of the cone of movable divisors of .
Keywords
Cite
@article{arxiv.1603.09241,
title = {Computing GIT-fans with symmetry and the Mori chamber decomposition of $\bar{M}_{0,6}$},
author = {Janko Boehm and Simon Keicher and Yue Ren},
journal= {arXiv preprint arXiv:1603.09241},
year = {2020}
}
Comments
16 pages, 4 figures, 2 tables, minor revisions