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math.AC2025
Projective monomial curves associated to numerical semigroups with multiplicity , width , and embedding dimension
Om Prakash Bhardwaj, Trung Chau, Omkar Javadekar
Numerical semigroups with multiplicity , width , and embedding dimension are of the form $$S(e,m,n) = \langle \{e, e+1, \ldots, 2e-1\} \setminus \{e+m, e+n\} \rangle,…
math.AC2025
A comparison of the regularity of certain classes of monomial ideals and their integral closures
Omkar Javadekar
Let , be an ideal of , and denote its integral closure. A conjecture of Küronya and Pintye states that for any homogeneous ideal…
math.AC2025
Extremal behavior of ideals of minors
Trung Chau, Michael DeBellevue, Souvik Dey +2
Let be either a fiber product or an artinian stretched Gorenstein ring, with in the latter case. We prove that the…