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Prime and Cohen--Macaulay binomial ideals with linear resolution

2026/07/24 by Takayuki Hibi, Ayesha Asloob Qureshi, Sara Saeedi Madani
#math.AC

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Abstract

Let I be an ideal of a polynomial ring S over a field K for which I is minimally generated by at least two quadratic binomials. Suppose that (i) I is prime, (ii) S/I is Cohen--Macaulay and (iii) I has linear resolution. The question whether I is equal to the ideal of 2-minors of a (2 × n)-matrix of variables is mainly studied.

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