Alberto Alzati, Alfinso Tortora
Abstract
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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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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.
Key concepts: Monomial, Codimension, Mathematics, Pure mathematics