Using SAGBI bases to compute invariants

DOI10.1016/S0022-4049(99)00015-8zbMath0928.14038OpenAlexW1979312155MaRDI QIDQ1295793

Harrison Tsai, Michael Stillman

Publication date: 23 November 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(99)00015-8

zbMATH Keywords

SAGBI basisinvariants of actions of the torus

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Geometric invariant theory (14L24) Computational aspects in algebraic geometry (14Q99)

Related Items

Saturations of subalgebras, SAGBI bases, and U-invariants, Certification for polynomial systems via square subsystems, Standard Monomial Theory of RR Varieties, Gröbner bases for the rings of special orthogonal and \(2\times 2\) matrix invariants, Using symmetries in the eigenvalue method for polynomial systems

Uses Software

• Macaulay2

Cites Work

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• On the theory of graded structures
• Toric ideals generalized by quadratic binomials
• An algorithm to compute the invariant ring of a \(G_ a\)-action on an affine variety
• Analogs of Gröbner bases in polynomial rings over a ring
• Polynomial bounds for rings of invariants
• Sagbi bases with applications to blow-up algebras.
• Algorithms in invariant theory