Worst unstable points of a Hilbert scheme

JOURNAL OF ALGEBRA

卷:544

Article

Lee, Cheolgyu¹ 

[1] POSTECH, Dept Math, Pohang 790784, Gyungbuk, South Korea

关键词: Hilbert scheme;    Hesselink stratification;    Geometric invariant theory;    Castelnuovo-Mumford regularity;    Gotzmann theorems;    K-stability;   

DOI  :  10.1016/j.jalgebra.2019.10.022

来源: Elsevier

【 摘 要 】

In this paper, we describe the worst unstable points of a Hilbert scheme for some special Hilbert polynomials and ambient spaces using Murai's work on Gotzmann monomial sets. We investigate the geometry of the projective schemes represented by worst unstable Hilbert points and see that in certain cases that they fail to be K-stable or attain maximal regularity. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free