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arXiv · 1505.04851

Rees Algebras and Almost Linearly Presented Ideals

Jacob A. Boswell·Vivek Mukundan
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Abstract

Consider a grade 2 perfect ideal $I$ in $R=k[x_1,\cdots,x_d]$ which is generated by forms of the same degree. Assume that the presentation matrix $\varphi$ is almost linear, that is, all but the last column of $\varphi$ consist of entries which are linear. For such ideals, we find explicit forms of the defining ideal of the Rees algebra $\mathcal{R}(I)$. We also introduce the notion of iterated Jacobian duals.

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BibTeXRIS

Jacob A. Boswell, Vivek Mukundan. 2015-05-19. Rees Algebras and Almost Linearly Presented Ideals. https://doi.org/10.1016/j.jalgebra.2016.03.035

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