Minimal Graded Free Resolutions for Monomial Curves Defined by Arithmetic Sequences

Philippe Gimenez, Indranath Sengupta, Hema Srinivasan

Let $\mm=(m_0,...,m_n)$ be an arithmetic sequence, i.e., a sequence of integers $m_0<...<m_n$ with no common factor that minimally generate the numerical semigroup $\sum_{i=0}^{n}m…