Asymptotic behavior of Ext for pairs of modules of large complexity over graded complete intersections

被引：0

作者：

Jorgensen, David A. ^{[1
]}

Sega, Liana M. ^{[2
]}

Thompson, Peder ^{[3
,4
]}

机构：

[1] Univ Texas Arlington, Dept Math, 411 S Nedderman Dr,Pickard Hall 429, Arlington, TX 76019 USA

[2] Univ Missouri Kansas City, Div Comp Analyt & Math, 206 Haag Hall,5100 Rockhill Rd, Kansas City, MO 64110 USA

[3] NTNU, Inst matemat Fag, N-7491 Trondheim, Norway

[4] Niagara Univ, Dept Math, Niagara, NY 14109 USA

来源：

MATHEMATISCHE ZEITSCHRIFT | 2022年 / 302卷 / 03期

关键词：

Complete intersection; Complexity; Graded ring; Hilbert series;

D O I：

10.1007/s00209-022-03114-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M and N be finitely generated graded modules over a graded complete intersection R such that Ext(R)(i) R (M,N) has finite length for all i >> 0. We show that the even and odd Hilbert polynomials, which give the lengths of Ext(R)(i) (M, N) for all large even i and all large odd i, have the same degree and leading coefficient whenever the highest degree of these polynomials is at least the dimension of M or N. Refinements of this result are given when R is regular in small codimensions.

引用

页码：1761 / 1784

页数：24

共 4 条

[1] Asymptotic behavior of Ext for pairs of modules of large complexity over graded complete intersections
David A. Jorgensen
Liana M. Şega
Peder Thompson
Mathematische Zeitschrift, 2022, 302 : 1761 - 1784
[2] On modules of finite projective dimension over complete intersections
Dutta, SP
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (01) : 113 - 116
[3] Characterization of modules of finite projective dimension over complete intersections
Li, JJ
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (05) : 1271 - 1275
[4] DUALITY AND SYMMETRY OF COMPLEXITY OVER COMPLETE INTERSECTIONS VIA EXTERIOR HOMOLOGY
Liu, Jian
Pollitz, Josh
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 149 (02) : 619 - 631

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