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math.AC2022
Longest and Shortest Factorizations in Embedding Dimension Three
Baian Liu, JiaYan Yap
For a numerical monoid minimally generated by with , the longest and shortest factorization l…
math.AG2022
Moduli Spaces of One-Line Extensions of Configurations
Moshe Cohen, Baian Liu
Two line arrangements in can have different topological properties even if they are combinatorially isomorphic. Results by Dan Cohen and Suciu and by Randell show t…
math.AC2022
Ring Structure of Integer-Valued Rational Functions
Baian Liu
$\DeclareMathOperator{\IntR}{Int{}^\text{R}}$Integer-valued rational functions are a natural generalization of integer-valued polynomials. Given a domain , the collection of all…