Monomial invariants in codimension two

Mathematics – Algebraic Geometry

Scientific paper

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LaTeX, 8 pages

Scientific paper

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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