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Margherita Barile

  1. Projective dimensions of the edge ideals of forests.

    Fri, 01/29/2010 - 16:01 — SomNambul
    Authors: Margherita Barile
    Subjects: Commutative Algebra
    Abstract

    We show that, for the edge ideals of forests, the arithmetical rank equals
    the projective dimension of the corresponding quotient ring.

  2. The Stanley-Reisner ideals of polygons as set-theoretic complete intersections.

    Fri, 09/11/2009 - 19:12 — SomNambul
    Authors: Margherita Barile, Naoki Terai
    Subjects: Commutative Algebra
    Abstract

    We show that the Stanley-Reisner ideal of the one-dimensional simplicial
    complex whose diagram is an $n$-gon is always a set-theoretic complete
    intersection in any positive characteristic.

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