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math.AC2026

Extremal behavior of ideals of minors

Trung Chau, Michael DeBellevue, Souvik Dey +2

The paper proves that for modules over certain local rings (fiber products and artinian stretched Gorenstein rings) the ideals generated by minors in their minimal free resolutions…

math.AC2026

Golod ideals in combinatorial commutative algebra

Benjamin Briggs, Trung Chau, Alessandro De Stefani

In this article we study the Golod property of standard graded algebras. We show that determinantal ideals, binomial edge ideals, and permanental ideals are Golod if and only if th…

math.AC2026

The v-numbers of permanental ideals

Trung Chau, A. V. Jayanthan

In this article, we compute the $\vv$-number of permanental ideals of generic, generic symmetric, and generic Hankel matrices.

math.AC2026

On licci squarefree monomial ideals

Om Prakash Bhardwaj, Trung Chau, Omkar Javadekar

We study the licci property for several classes of squarefree monomial ideals arising from graphs and related combinatorial structures. We characterize licci bi-Cohen-Macaulay squa…

math.AC2026

Realizable (reg, deg h)-Pairs for Cover Ideals via Independence Polynomials

Jennifer Biermann, Trung Chau, Selvi Kara +4

Let be a finite simple graph on vertices and set , with edge ideal and cover ideal . We give an explicit description of the -polynom…

math.AC2026

Symbolic powers and integral closures via extremal ideals

Trung Chau, Art Duval, Sara Faridi +3

This paper demonstrates that extremal ideals can be used to great effect to compute integral closures of powers and symbolic powers of square-free monomial ideals. We show that the…