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arXiv · 1611.04732

Transversal Intersection and Sum of Polynomial Ideals

Joydip Saha·Indranath Sengupta·Gaurab Tripathi
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Abstract

In this paper we derive some conditions for transversal intersection of polynomial ideals. We exhibit some examples. Finally, as an application of the results proved, we compute the Betti numbers for ideals of the form $I_{1}(XY) + J$, where $X$ and $Y$ are matrices and $J$ is the ideal generated by the $2\times 2$ minors of the matrix consisting of any two rows of $X$.

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Joydip Saha, Indranath Sengupta, Gaurab Tripathi. 2016-11-15. Transversal Intersection and Sum of Polynomial Ideals. https://arxiv.org/abs/1611.04732

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