WEAK FUNCTORIALITY OF COHEN-MACAULAY ALGEBRAS

被引：13

作者：

Andre, Yves ^{[1
]}

机构：

[1] Sorbonne Univ, Inst Math Jussieu, 4 Pl Jussieu, F-75005 Paris, France

来源：

关键词：

Direct summand conjecture; big Cohen-Macaulay algebra; perfectoid algebra;

D O I：

10.1090/jams/937

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：363 / 380

页数：18

共 20 条

[1] Andre Y, 2018, P ICM, P249
[2] André Y, 2018, PUBL MATH-PARIS, V127, P1, DOI 10.1007/s10240-017-0096-x
[3] André Y, 2018, PUBL MATH-PARIS, V127, P71, DOI 10.1007/s10240-017-0097-9
[4] STRUCTURE OF LOCAL HOMOMORPHISMS
AVRAMOV, LL
FOXBY, HB
HERZOG, B
[J]. JOURNAL OF ALGEBRA, 1994, 164 (01) : 124 - 145
[5] BARTIJN J, 1983, LECT NOTES MATH, V1029, P192
[6] BOURBAKI N, 1985, ALGEBRE COMMUTATIVE, pCH1
[7] Big Cohen-Macaulay algebras and seeds
Dietz, Geoffrey D.
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 359 (12) : 5959 - 5989
[8] Gabber O., 2003, LECT NOTES MATH, V1800
[9] Big Cohen-Macaulay algebras and the vanishing conjecture for maps of Tor in mixed characteristic
Heitmann, Raymond
Ma, Linquan
[J]. ALGEBRA & NUMBER THEORY, 2018, 12 (07) : 1659 - 1674
[10] INFINITE INTEGRAL-EXTENSIONS AND BIG COHEN-MACAULAY ALGEBRAS
HOCHSTER, M
HUNEKE, C
[J]. ANNALS OF MATHEMATICS, 1992, 135 (01) : 53 - 89