Sumsets regularity versus Castelnuovo-Mumford regularity for monomial curves

Prashant Chaudhary, Kapil Khandelwal

Let $A=\{0=a_0<a_1<\cdots <a_{k-1}=d\}$ be integers with greatest common divisor $1$, let $C_A$ be the projective monomial curve they define, and let $\mathrm{reg}(A)$ be the Casteln…