F-INJECTIVE SINGULARITIES ARE DU BOIS

被引：0

作者：

Schwede, Karl ^{[1
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2009年 / 131卷 / 02期

关键词：

WEAKLY NORMAL VARIETIES; CHARACTERISTIC ZERO; TIGHT CLOSURE; CANONICAL SINGULARITIES; RATIONAL-SINGULARITIES; SURFACE SINGULARITIES; VANISHING THEOREMS; CHARACTERISTIC-P; RINGS; PURITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that singularities of F-injective type are Du Bois. This extends the correspondence between singularities associated to the minimal model program and singularities defined by the action of Frobenius in positive characteristic.

引用

页码：445 / 473

页数：29

共 28 条

[1] The dualizing complex of F-injective and Du Bois singularities
Bhatt, Bhargav
Ma, Linquan
Schwede, Karl
MATHEMATISCHE ZEITSCHRIFT, 2018, 288 (3-4) : 1143 - 1155
[2] F-injective rings and F-stable primes
Enescu, F
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (11) : 3379 - 3386
[3] The intuitive definition of Du Bois singularities
Kovacs, Sandor J.
GEOMETRY AND ARITHMETIC, 2012, : 257 - 266
[4] Local cohomology of Du Bois singularities and applications to families
Ma, Linquan
Schwede, Karl
Shimomoto, Kazuma
COMPOSITIO MATHEMATICA, 2017, 153 (10) : 2147 - 2170
[5] Inversion of adjunction for rational and Du Bois pairs
Kovacs, Sandor J.
Schwede, Karl
ALGEBRA & NUMBER THEORY, 2016, 10 (05) : 969 - 1000
[6] Stability and deformation of F-singularities
De Stefani, Alessandro
Smirnov, Ilya
ISRAEL JOURNAL OF MATHEMATICS, 2024, 264 (01) : 1 - 35
[7] F-singularities under generic linkage
Ma, Linquan
Page, Janet
Rebecca, R. G.
Taylor, William
Zhang, Wenliang
JOURNAL OF ALGEBRA, 2018, 505 : 194 - 210
[8] F-singularities in families
Patakfalvi, Zsolt
Schwede, Karl
Zhang, Wenliang
ALGEBRAIC GEOMETRY, 2018, 5 (03): : 264 - 327
[9] F-SINGULARITIES VIA ALTERATIONS
Blickle, Manuel
Schwede, Karl
Tucker, Kevin
AMERICAN JOURNAL OF MATHEMATICS, 2015, 137 (01) : 61 - 109
[10] Bertini theorems for F-singularities
Schwede, Karl
Zhang, Wenliang
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2013, 107 : 851 - 874

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