Symbolic Blowup algebras of monomial curves in ${\mathbb A}^3$ defined by arithmetic sequence

Clare D'Cruz

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arXiv · 1708.01374

Symbolic Blowup algebras of monomial curves in ${\mathbb A}^3$ defined by arithmetic sequence

Clare D'Cruz

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Abstract

In this paper, we consider monomial curves in ${\mathbb A}_k^3$ parameterized by $t \rightarrow (t^{2q +1}, t^{2q +1 + m}, t^{2q +1 +2 m})$ where $gcd( 2q+1,m)=1$. The symbolic blowup algebras of these monomial curves is Gorenstein (\cite{goto-nis-shim}, \cite{goto-nis-shim-2}). We give a simple proof for the the Gorenstein property for the symbolic blowup algebras of these curves.

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Clare D'Cruz. 2017-08-04. Symbolic Blowup algebras of monomial curves in ${\mathbb A}^3$ defined by arithmetic sequence. https://arxiv.org/abs/1708.01374

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