An application of liaison theory to the Eisenbud-Green-Harris conjecture

JOURNAL OF ALGEBRA

卷:445

Article

Chong, Kai Fong Ernest¹ 

[1] Cornell Univ, Dept Math, Ithaca, NY 14853 USA

关键词: Hilbert function;    EGH conjecture;    Liaison theory;    Licci ideals;    Gorenstein ideals;   

DOI  :  10.1016/j.jalgebra.2015.09.004

来源: Elsevier

【 摘 要 】

In this paper, we apply liaison theory to the Eisenbud-Green-Harris conjecture and prove that the conjecture holds for a certain subclass of homogeneous ideals in the linkage class of a complete intersection ideal. In the case of three variables, we prove that the conjecture holds for Gorenstein ideals. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free