On Hilbert coefficients of filtrations

被引：3

作者：

Gu, Yan ^{[1
]}

Zhu, Guangjun ^{[1
]}

Tang, Zhongming ^{[1
]}

机构：

[1] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2007年 / 28卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Hilbert coefficients; fiber cones; depth;

D O I：

10.1007/s11401-006-0092-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be a Hilbert filtration with respect to a Cohen-Macaulay module M. When G(T,M) and F-K(,F,M) have almost maximal depths, the Hilbert coefficients g(i) (F, M) is calculated. In the general case, an upper bound for g(2) (F, M) is also given.

引用

页码：543 / 554

页数：12

共 50 条

[1] Hilbert coefficients of Hilbert filtrations
Guerrieri, A
Rossi, ME
JOURNAL OF ALGEBRA, 1998, 199 (01) : 40 - 61
[2] On Hilbert Coefficients of Filtrations
Yan GU Guangjun ZHU Zhongming TANG Department of Mathematics
ChineseAnnalsofMathematics, 2007, (05) : 543 - 554
[3] On Hilbert Coefficients of Filtrations*
Yan Gu
Guangjun Zhu
Zhongming Tang
Chinese Annals of Mathematics, Series B, 2007, 28 : 543 - 554
[4] Hilbert coefficients of good I-filtrations of modules
Dung, Le Xuan
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
[5] Hilbert polynomials of multigraded filtrations of ideals
Masuti, Shreedevi K.
Sarkar, Parangama
Verma, J. K.
JOURNAL OF ALGEBRA, 2015, 444 : 527 - 566
[6] Bounds on Hilbert Series and Hilbert Coefficients
Gu, Yan
Chu, Lizhong
Zhu, Guangjun
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2008, 32 (06) : 1059 - 1068
[7] Quantum symmetry groups of Hilbert modules equipped with orthogonal filtrations
de Chanvalon, Manon Thibault
JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 266 (05) : 3208 - 3235
[8] On the coefficients of the Hilbert polynomial
Elias, J
Rossi, ME
Valla, G
JOURNAL OF PURE AND APPLIED ALGEBRA, 1996, 108 (01) : 35 - 60
[9] VARIATION OF HILBERT COEFFICIENTS
Ghezzi, Laura
Goto, Shiro
Hong, Jooyoun
Vasconcelos, Wolmer V.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (09) : 3037 - 3048
[10] Bounds for Hilbert Coefficients
Cao Huy Linh
Ton That Quoc Tan
TAIWANESE JOURNAL OF MATHEMATICS, 2021, 25 (06): : 1159 - 1172

← 1 2 3 4 5 →