On the Hilbert Series of the tangent cones for some 4-generated pseudo 2 symmetric monomial curves

Nil Şahin

doi:10.55730/1300-0098.3389

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arXiv · 2212.13494

On the Hilbert Series of the tangent cones for some 4-generated pseudo 2 symmetric monomial curves

Nil Şahin

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Abstract

In this article, we study Hilbert Series of non-Cohen-Maculay tangent cones for some 4-generated pseudo symmetric monomial curves. We show that the Hilbert Function is nondecreasing by explicitly computing it. We also compute standard bases of these toric ideals.

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Nil Şahin. 2022-12-27. On the Hilbert Series of the tangent cones for some 4-generated pseudo 2 symmetric monomial curves. https://doi.org/10.55730/1300-0098.3389

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