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Monomial invariants in codimension two

A. Alzati·A. Tortora
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Abstract

We define the monomial invariants of a projective variety $Z$; they are invariants coming from the generic initial ideal of $Z$. Using this notion, we generalize a result of Cook: If $Z$ is an integral variety of codimension two, satisfying the additional hypothesis $s_Z=s_Γ,$ then its monomial invariants are connected.

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A. Alzati, A. Tortora. 2003-10-23. Monomial invariants in codimension two. https://arxiv.org/abs/math/0310376

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