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arXiv · 1406.6426

Decompositions of ideals of minors meeting a submatrix

Kent M. Neuerburg·Zach Teitler
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Abstract

We compute the primary decomposition of certain ideals generated by subsets of minors in a generic matrix or in a generic symmetric matrix, or subsets of Pfaffians in a generic skew-symmetric matrix. Specifically, the ideals we consider are generated by minors that have at least some given number of rows and columns in certain submatrices.

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Kent M. Neuerburg, Zach Teitler. 2014-06-25. Decompositions of ideals of minors meeting a submatrix. https://arxiv.org/abs/1406.6426

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