Monomial invariants in codimension two
classification
🧮 math.AG
math.AC
keywords
invariantsmonomialcodimensionvarietyadditionalcomingconnectedcook
read the original 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 $s_Z=s_\Gamma,$ then its monomial invariants are connected.
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