compgit: Computing Geometric Invariant Theory (GIT) quotients in algebraic geometry¶

Description¶

The CompGIT package is a tool for computing Geometric Invariant Theory (GIT) quotients in algebraic geometry. In a nutshell, GIT is a theory to model orbit spaces of algebraic varieties. Given an action of a simple complex reductive group $G$ on a projective space $mathbb{P}^n$, CompGIT gives a description of the $G$-orbits of $mathbb{P}^n$, called unstable/non-stable/strictly polystable orbits, that need to be removed/treated specially to form a well-behaved quotient.

License¶

GNU General Public License v3.0

Upstream Contact¶

• https://github.com/passagemath/passagemath-pkg-CompGIT

• https://github.com/Robbie-H/CompGIT

Type¶

optional

Dependencies¶

• $(PYTHON)

• $(PYTHON_TOOLCHAIN)

• sagemath_combinat: Algebraic combinatorics, combinatorial representation theory

• sagemath_flint: Fast computations with MPFI and FLINT

• sagemath_graphs: Graphs, posets, hypergraphs, designs, abstract complexes, combinatorial polyhedra, abelian sandpiles, quivers

• sagemath_groups: Groups and Invariant Theory

• sagemath_modules: Vectors, matrices, tensors, vector spaces, affine spaces, modules and algebras, additive groups, quadratic forms, root systems, homology, coding theory, matroids

• sagemath_pari: Computational Number Theory with PARI/GP

• sagemath_polyhedra: Convex polyhedra in arbitrary dimension, mixed integer linear optimization

• sagemath_repl: IPython kernel, Sage preparser, doctester

• scipy: Scientific tools for Python

Version Information¶

requirements.txt:

CompGIT @ git+https://github.com/passagemath/passagemath-pkg-CompGIT

Installation commands¶

$ pip install CompGIT@git+https://github.com/passagemath/passagemath-pkg-CompGIT

$ sage -i compgit

However, these system packages will not be used for building Sage because spkg-configure.m4 has not been written for this package; see upstream Issue #27330 for more information.