Standard bases and geometric invariant theory. I: Initial ideals and state polytopes

DOI10.1016/S0747-7171(88)80043-9zbMath0675.13014MaRDI QIDQ1121951

Ian Morrison, David Bayer

Publication date: 1988

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

zbMATH Keywords

polynomial ringinitial idealstandard basesstate polytopetotal ordering on the monomials

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Relevant commutative algebra (14A05)

Related Items

Computing Gröbner Fans of Toric Ideals, A theorem on refining division orders by the reverse lexicographic order, Gröbner bases and triangulations of the second hypersimplex, Alexander duality in experimental designs, Betti numbers of polynomial hierarchical models for experimental designs, Covers and fans of polynomial ideals, Variation of stability for moduli spaces of unordered points in the plane, The Hilbert zonotope and a polynomial time algorithm for universal Gröbner bases., The toric Hilbert scheme of a rank two lattice is smooth and irreducible., Degenerations of toric ideals and toric varieties, Antichains of monomial ideals are finite, Test sets and inequalities for integer programs, Chow polytopes and general resultants, Gröbner Techniques for Low-Degree Hilbert Stability, Computing Gröbner fans, Note on the decomposition of states, Cutting corners, A tropical toolkit, Standard bases, critical tropisms and flatness, Gröbner bases, invariant theory and equivariant dynamics, Gröbner bases of toric varieties, Grothendieck–Plücker Images of Hilbert Schemes are Degenerate, On the complexity of smooth projective toric varieties, Worst unstable points of a Hilbert scheme, Product formulas for resultants and Chow forms

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