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Spring 2021 Complete intersections with given Hilbert polynomials
Christopher Eur, Sung Hyun Lim
J. Commut. Algebra 13(1): 29-39 (Spring 2021). DOI: 10.1216/jca.2021.13.29

Abstract

The Hilbert polynomial of a homogeneous complete intersection is determined by the degrees of the generators of the defining ideal. The degrees of the generators are not, in general, determined by the Hilbert polynomial — but sometimes they are. When? We give some general criteria and completely answer the question up to codimension 6.

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Christopher Eur. Sung Hyun Lim. "Complete intersections with given Hilbert polynomials." J. Commut. Algebra 13 (1) 29 - 39, Spring 2021. https://doi.org/10.1216/jca.2021.13.29

Information

Received: 25 January 2018; Revised: 17 August 2018; Accepted: 21 August 2018; Published: Spring 2021
First available in Project Euclid: 28 May 2021

Digital Object Identifier: 10.1216/jca.2021.13.29

Subjects:
Primary: 13C40
Secondary: 13D40

Rights: Copyright © 2021 Rocky Mountain Mathematics Consortium

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Vol.13 • No. 1 • Spring 2021
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