Geometry, Algebraic Data processing Algebra Commutative algebra Geometry Combinatorial analysis Combinatorial geometry Combinatorics Invariants Mathematics Algebraic geometry Algorithms Geometry, Projective Gröbner bases Algebraic Geometry Basic linear algebra Convex and discrete geometry Equations Linear and multilinear algebra; matrix theory Numerical solutions Polynomials Polytopes and polyhedra Algebraic geometry -- Computational aspects in algebraic geometry [See also 12Y05, 13Pxx, 68W30] -- Higher-dimensional varieties Asymptotic theory Biometry Combinatorics {For finite fields, see 11Txx} -- Algebraic combinatorics -- Combinatorial aspects of commutative algebra Commutative Rings and Algebras Commutative algebra -- Computational aspects and applications [See also 14Qxx, 68W30] -- Solving polynomial systems; resultants Commutative algebra -- General commutative ring theory -- Actions of groups on commutative rings; invariant theory [See also 14L24] Computational aspects and applications