Additions to a theorem of Morey-Ulrich

Thiago Fiel; Zaqueu Ramos; Aron Simis

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arXiv · 2505.03065

Additions to a theorem of Morey-Ulrich

Thiago Fiel·Zaqueu Ramos·Aron Simis

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Abstract

Let $R = k[x_1,\ldots, x_d]$ denote a standard graded polynomial ring over an algebraically closed field $k$, and let $I \subset R$ be a perfect ideal of codimension $2$ with an $n\times (n-1)$ linear presentation matrix $\phi$. We prove an extended formulation of a theorem of Morey and Ulrich in the case where $I$ satisfies condition $G_{d-1}$, but not condition $G_d$.

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Thiago Fiel, Zaqueu Ramos, Aron Simis. 2025-05-05. Additions to a theorem of Morey-Ulrich. https://arxiv.org/abs/2505.03065

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