The fiber cone of a monomial ideal in two variables
J\"urgen Herzog, Ayesha Asloob Qureshi, Maryam Mohammadi Saem
TL;DR
This paper explicitly determines the depth of the fiber cone and its relation ideal for specific classes of monomial ideals in two variables, including concave, convex, and symmetric ideals.
Contribution
It provides explicit calculations of the fiber cone's depth and relation ideal for various classes of monomial ideals in two variables, expanding understanding in this area.
Findings
Explicit formulas for the depth of the fiber cone.
Characterization of the relation ideal for these monomial ideals.
Application to concave, convex, and symmetric ideals.
Abstract
We determine in an explicit way the depth of the fiber cone and its relation ideal for classes of monomial ideals in two variables. These classes include concave and convex ideals as well as symmetric ideals.
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