Let S=k[x₁,⋯,xₙ] be a polynomial ring over an arbitrary field k. We construct a new symmetric polytopal minimal resolution of (x₁,⋯,xₙ)ⁿ. Using this resolution, we also obtain a symmetric polytopal minimal resolution of the ideal obtained by removing x₁⋯ xₙ from the generators of (x₁,⋯,xₙ)ⁿ.
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Đào et al. (2024) studied this question.
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