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Containment results for ideals of various configurations of points in PN

  • Autores: Cristiano Bocci, Susan Marie Cooper, Brian Harbourne
  • Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 218, Nº 1, 2014, págs. 65-75
  • Idioma: inglés
  • DOI: 10.1016/j.jpaa.2013.04.012
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  • Resumen
    • Guided by evidence coming from a few key examples and attempting to unify previous work of Chudnovsky, Esnault�Viehweg, Eisenbud�Mazur, Ein�Lazarsfeld�Smith, Hochster� Huneke and Bocci�Harbourne, Harbourne and Huneke recently formulated a series of conjectures that relate symbolic and regular powers of ideals of fat points in PN . In this paper we propose another conjecture along the same lines (Conjecture 3.9), and we verify it and the conjectures of Harbourne and Huneke for a variety of configurations of points.


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