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arXiv · 1012.5789

Ideals generated by adjacent 2-minors

Juergen Herzog·Takayuki Hibi
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Abstract

Ideals generated by adjacent 2-minors are studied. First, the problem when such an ideal is a prime ideal as well as the problem when such an ideal possesses a quadratic Gröbner basis is solved. Second, we describe explicitly a primary decomposition of the radical ideal of an ideal generated by adjacent 2-minors, and challenge the question of classifying all ideals generated by adjacent 2-minors which are radical ideals. Finally, we discuss connectedness of contingency tables in algebraic statistics.

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Juergen Herzog, Takayuki Hibi. 2011-01-10. Ideals generated by adjacent 2-minors. https://arxiv.org/abs/1012.5789

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