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arXiv · 1407.0544

Asymptotic Hilbert Polynomial and limiting shapes

Marcin Dumnicki·Justyna Szpond·Halszka Tutaj-Gasinska
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Abstract

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 P^n. M. Mustata 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.

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Marcin Dumnicki, Justyna Szpond, Halszka Tutaj-Gasinska. 2014-07-02. Asymptotic Hilbert Polynomial and limiting shapes. https://arxiv.org/abs/1407.0544

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