
arXiv: 1606.04614
In this paper, we will prove that a problem deciding whether there is an upper-triangular coordinate in which a character is not in the state of a Hilbert point is NP-hard. This problem is related to the GIT-semistability of a Hilbert point.
-corrected some typos and added an example in the end of the fourth section
Mathematics - Algebraic Geometry, Effectivity, complexity and computational aspects of algebraic geometry, Geometric invariant theory, 14L24, 03D15, FOS: Mathematics, Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.), Symbolic computation and algebraic computation, Algebraic Geometry (math.AG)
Mathematics - Algebraic Geometry, Effectivity, complexity and computational aspects of algebraic geometry, Geometric invariant theory, 14L24, 03D15, FOS: Mathematics, Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.), Symbolic computation and algebraic computation, Algebraic Geometry (math.AG)
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