Minimal Graded Free Resolution for Monomial Curves in ${\mathbb{A}}^4$ defined by almost arithmetic sequences

Achintya Kumar Roy, Indranath Sengupta, Gaurab Tripathi

Let $\mm=(m_0,m_1,m_2,n)$ be an almost arithmetic sequence, i.e., a sequence of positive integers with $\gcd (m_0,m_1,m_2,n)=1$, such that $m_0<m_1<m_2$ form an arithmetic pr…