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arXiv · 2405.18041

Defining ideals of Cohen-Macaulay fiber cones

Reza Abdolmaleki·Shinya Kumashiro
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Abstract

Let $A$ be a commutative Noetherian local ring with maximal ideal $\mathfrak{m}$, and let $I$ be an ideal. The fiber cone is then an image of the polynomial ring over the residue field $A/\mathfrak{m}$. The kernel of this map is called the defining ideal, and it is natural to ask how to compute it. In this paper, we provide a construction for the defining ideals of Cohen-Macaulay fiber cones.

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Reza Abdolmaleki, Shinya Kumashiro. 2024-05-28. Defining ideals of Cohen-Macaulay fiber cones. https://arxiv.org/abs/2405.18041

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