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Showing 1 to 2 of 2 for “"fat points"”.

  1. Ideals of powers of linear forms

    … class of ideals is closely related to ideals of fat points. In the second chapter, we approach a conjecture of Postnikov and Shapiro concerning the minimal free resolutions of a class of ideals of powers of linear forms in n variables which are constructed from complete graphs on n + 1 vertices. …

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  2. The syzygy theorem and the weak Lefschetz Property

    … Weak Lefschetz property to the geometry of the fat point scheme associated to the powers of linear forms. As a natural outcome of this research we describe conjectures on the asymptotical behavior of the family of ideals that is being studied. In the second chapter, we solve some relevant cases …

    uiuc Repository record for The syzygy theorem and the weak Lefschetz Property (opens in a new tab)