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

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 ${\bar{M}}_{0,6}$.

16 pages, 4 figures, 2 tables, minor revisions

References in corpus (2)

• Towards Massively Parallel Computations in Algebraic Geometry
• Current Challenges in Developing Open Source Computer Algebra Systems

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