COMPUTING THE GIT-FAN

DOI10.1142/S0218196712500646zbMath1295.14041arXiv1205.4204OpenAlexW3101425347MaRDI QIDQ4902683

Simon Keicher

Publication date: 17 January 2013

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.4204

zbMATH Keywords

torus actionconvex coneGeometirc Invariant Theoryvariation of quotients

Mathematics Subject Classification ID

Computational aspects related to convexity (52B55) Geometric invariant theory (14L24) Computational aspects in algebraic geometry (14Q99)

Related Items

A software package for Mori dream spaces ⋮ A correspondence of good \(G\)-sets under partial geometric quotients ⋮ The gfanlib interface in Singular and its applications ⋮ Computing GIT-fans with symmetry and the Mori chamber decomposition of \overline{𝑀}_{0,6} ⋮ Crepant Resolutions of 3-Dimensional Quotient Singularities via Cox Rings ⋮ GIT-equivalence and semi-stable subcategories of quiver representations ⋮ A test for monomial containment ⋮ Computing resolutions of quotient singularities ⋮ On Mori chamber and stable base locus decompositions ⋮ Computing automorphisms of Mori dream spaces

Uses Software

• Maple

Cites Work

• Polyhedral divisors and algebraic torus actions
• Geometric invariant theory via Cox rings
• GIT-equivalence beyond the ample cone
• Variation of geometric invariant theory quotients. (With an appendix: ``An example of a thick wall by Nicolas Ressayre)
• Reverse search for enumeration
• A note on point location in arrangements of hyperplanes
• Computing tropical varieties
• Cox rings and combinatorics
• Computing Gröbner fans
• Geometric Invariant Theory
• Geometric invariant theory and flips
• Compactifications of subvarieties of tori