New upper bounds on Castelnuovo-Mumford regularity of monomial curves are given that are tighter than Lvovsky's bound under specific conditions, using Apery sets and Frobenius numbers, along with algorithms and sumset applications.
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New bounds on Castelnuovo--Mumford regularity of monomial curves and application to sumsets
New upper bounds on Castelnuovo-Mumford regularity of monomial curves are given that are tighter than Lvovsky's bound under specific conditions, using Apery sets and Frobenius numbers, along with algorithms and sumset applications.