Let K be a field and m 0 <ċ< m 3 be coprime positive integers, which form an arithmetic progression. Let 𝒞 be a monomial curve in the affine 4-space , defined parametrically by X 0 = T m 0 ,…, X 3 = T m 3 . Let A be the coordinate ring of 𝒞. In this article, we produce an explicit minimal free resolution for A.
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Indranath Sengupta (2003) studied this question.