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Weakly Newton-nondegenerate binomial ideals
An ideal $I$ of a polynomial ring $R=k[x_1,\dots,x_n]$ is called weakly Newton-nondegenerate, or weakly NND, if its integral closure $\overline{I}$ is a monomial ideal. We study weak Newton nondegeneracy for the family of quadratic binomial ideals \[ I=(x_1^2+ε_1x_{a_1}x_{b_1},\ \dots,\ x_n^2+ε_nx_{
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