Asymptotic Hilbert Polynomial and limiting shapes
Algebraic Geometry
2014-07-03 v1 Commutative Algebra
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.
Cite
@article{arxiv.1407.0544,
title = {Asymptotic Hilbert Polynomial and limiting shapes},
author = {Marcin Dumnicki and Justyna Szpond and Halszka Tutaj-Gasinska},
journal= {arXiv preprint arXiv:1407.0544},
year = {2014}
}