CONTINUITY OF HILBERT-KUNZ MULTIPLICITY AND F-SIGNATURE (vol 239, pg 322, 2020)

被引：1

作者：

Polstra, Thomas ^{[1
]}

Smirnov, Ilya ^{[2
]}

机构：

[1] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

[2] Stockholm Univ, Dept Math, SE-10691 Stockholm, Sweden

来源：

NAGOYA MATHEMATICAL JOURNAL | 2022年 / 245卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1017/nmj.2020.33

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Unfortunately, there is a mistake in [PS, Lemma 3.10] which invalidates [PS, Theorem 3.12]. We show that the theorem still holds if the ring is assumed to be Gorenstein.

引用

页码：229 / 231

页数：3

共 9 条

[1] CONTINUITY OF HILBERT-KUNZ MULTIPLICITY AND F-SIGNATURE
Polstra, Thomas
Smirnov, Ilya
[J]. NAGOYA MATHEMATICAL JOURNAL, 2020, 239 : 322 - 345
[2] Bertini theorems for F-signature and Hilbert-Kunz multiplicity
Carvajal-Rojas, Javier
Schwede, Karl
Tucker, Kevin
[J]. MATHEMATISCHE ZEITSCHRIFT, 2021, 299 (1-2) : 1131 - 1153
[3] Automating the calculation of the Hilbert-Kunz multiplicity and F-signature
Johnson, Gabriel
Spiroff, Sandra
[J]. SOFTWAREX, 2019, 9 : 35 - 38
[4] F-signature and Hilbert-Kunz multiplicity: a combined approach and comparison
Polstra, Thomas
Tucker, Kevin
[J]. ALGEBRA & NUMBER THEORY, 2018, 12 (01) : 61 - 97
[5] Bertini theorems for F-signature and Hilbert–Kunz multiplicity
Javier Carvajal-Rojas
Karl Schwede
Kevin Tucker
[J]. Mathematische Zeitschrift, 2021, 299 : 1131 - 1153
[6] The F-rational signature and drops in the Hilbert-Kunz multiplicity
Hochster, Melvin
Yao, Yongwei
[J]. ALGEBRA & NUMBER THEORY, 2022, 16 (08) : 1777 - 1809
[7] Upper semi-continuity of the Hilbert-Kunz multiplicity
Smirnov, Ilya
[J]. COMPOSITIO MATHEMATICA, 2016, 152 (03) : 477 - 488
[8] On the upper semi-continuity of the Hilbert-Kunz multiplicity
Enescu, F
Shimomoto, K
[J]. JOURNAL OF ALGEBRA, 2005, 285 (01) : 222 - 237
[9] On the Hilbert-Kunz function and Koszul homology (vol 175, pg 757, 1995)
Contessa, M
[J]. JOURNAL OF ALGEBRA, 1996, 180 (01) : 321 - 322

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