Asymptotic Hilbert polynomials and limiting shapes

• Marcin Dumnicki ^[1] ; Justyna Szpond ^[2] ; Halszka Tutaj-Gasińska ^[1]
  1. [1] Jagiellonian University

     Jagiellonian University

     Kraków, Polonia

     
  2. [2] Pedagogical University of Kraków

     Pedagogical University of Kraków

     Kraków, Polonia

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 10 (October 2015), 2015, págs. 4446-4457
• Idioma: inglés
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• Resumen

  • The main aim of this paper is to provide a method which allows finding limiting shapes of symbolic generic initial systems of higher-dimensional subvarieties of Pn. M. Mustaţă and S. Mayes established a connection between volumes of complements of limiting shapes and the asymptotic multiplicity for ideals of points. In the paper we prove a generalization of this fact to higher-dimensional sets.