Abstract
Let \(\mathfrak {p}\) be the defining ideal of the monomial curve \({\mathcal {C}}(2q+1, 2q+1+m, 2q+1+2m)\) in the affine space \(\mathbb {A}_{k}^{3}\) parameterised by (x2q+ 1,x2q+ 1+m,x2q+ 1 + 2m), where \(\gcd (2q+1,m)=1\). In this paper we compute the resurgence of \(\mathfrak {p}\), the Waldschmidt constant of \(\mathfrak {p}\) and the Castelnuovo-Mumford regularity of the symbolic powers of \(\mathfrak {p}\).
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D’Cruz, C. Resurgence and Castelnuovo-Mumford Regularity of Certain Monomial Curves in \(\mathbb {A}^{3}\). Acta Math Vietnam 46, 471–481 (2021). https://doi.org/10.1007/s40306-020-00383-1
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DOI: https://doi.org/10.1007/s40306-020-00383-1