3 papers
math.AC2025
On Gotzmann thresholds and a conjecture of Bonanzinga and Eliahou
Trung Chau
We obtain a recursive formula for the Gotzmann threshold of a power of a variable. Consequently, we give an affirmative answer to a conjecture of Bonanzinga and Eliahou.
math.AC2025
From neural codes to homological invariants: regularity and projective dimension of polarized neural ideals
Trung Chau
Neural codes form an algebraic framework to study the nervous system, and understanding neural codes is a key goal of mathematical neuroscience. Neural rings and ideals are the too…
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,…