Monomial invariants in codimension two

2003/10/23 by A. Alzati, Alzati, A., A. Tortora +1
Mathematics · #14M07 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:14M07

paper · pdf · doi:10.48550/arxiv.math/0310376

LaTeX, 8 pages

arxiv created 2003/10/23 · arxiv updated 2009/12/01

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.

Related

• Monomial invariants applied to graph coloring
• Powers of Monomial Ideals and Combinatorics
• Invariants of some classes of monomial ideals
• Cohen-Macaulay Monomial Ideals of Codimension 2
• Combinatorial secant varieties