Symbolic blowup algebras and invariants associated to certain monomial curves in

Abstract In this paper we explicitly describe the symbolic powers of the ideal defining the curve in parametrized by where q, m are positive integers, and We show that the symbolic blowup algebra is Noetherian and Gorenstein. An explicit formula for the resurgence and the Waldschmidt constant of the prime ideal defining the curve is computed. We also give a formula for the Castelnuovo-Mumford regularity of the symbolic powers for all

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