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arXiv · 1011.0305

Resolution of Veronese Embedding of plane curves

Aaloka Kanhere
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Abstract

Let $C$ be a smooth (irreducible) curve of degree $d$ in $\mathbb{P}^{2}$. Let $\mathbb{P}^{2} \hookrightarrow \mathbb{P}^{5}$ be the Veronese embedding and let $\mathcal{I}_{C}$ denote the homogeneous ideal of $C$ on $\mathbb{P}^{5}$. In this note we explicitly write down the minimal free resolution of $\mathcal{I}_{C}$ for $d\geq 2

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Aaloka Kanhere. 2010-11-01. Resolution of Veronese Embedding of plane curves. https://arxiv.org/abs/1011.0305

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