Computing GIT-fans with symmetry and the Mori chamber decomposition of \overline{𝑀}_{0,6}

Böhm, Janko; Keicher, Simon; Ren, Yue

doi:10.1090/mcom/3546

Computing GIT-fans with symmetry and the Mori chamber decomposition of $\overline {M}_{0,6}$
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by Janko Böhm, Simon Keicher and Yue Ren;

Math. Comp. 89 (2020), 3003-3021

DOI: https://doi.org/10.1090/mcom/3546

Published electronically: June 30, 2020

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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 $\operatorname {Mov}(\overline {M}_{0,6})$.

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