Sengupta, IndranathIndranathSengupta2025-08-312025-08-312022-06-0110.1007/s12044-022-00670-x2-s2.0-85131079381http://repository.iitgn.ac.in/handle/IITG2025/26042This article is an expository survey on affine monomial curves, where we discuss some research problems from the perspective of computation.falseApéry set | Betti numbers | blowup algebras | complete intersection | derivation module | Francia’s conjecture | Frobenius number | Gröbner basis | minimal presentation | monomial curves | Numerical semigroups | set theoretic complete intersection | symmetric numerical semigroups | syzygiesArticlehttps://arxiv.org/pdf/2008.0024609737685June 2022036arJournal0WOS:000804741900001