ANDRE-QUILLEN HOMOLOGY IN DEGREE-5

被引:2
作者
PITTELOUD, Y
机构
[1] Department of Mathematics, Swiss Federal Institute of Technology
关键词
D O I
10.1016/0022-4049(94)90033-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Given two commutative A-algebras B and C and a B x (A) C-module W, the modules H(n)(A, B, C, W) are useful for comparing the ordinary Andre-Quillen homology modules H(n)(A, B, W) and H(n)(C, B x (A)C, W); they have been studied for small values of n. In this paper, we focus our attention on the module H5(A, B, C, B x (A)C). As a corollary of our computations, we obtain some new results in the theory of the cotangent complex.
引用
收藏
页码:195 / 216
页数:22
相关论文
共 11 条
[1]   TENSOR-PRODUCT AND COTANGENT-COMPLEX [J].
ANDRE, M .
MANUSCRIPTA MATHEMATICA, 1990, 66 (03) :319-339
[2]  
ANDRE M, 1967, LECTURES NOTES MATH, V32
[3]  
Andre M., 1974, HOMOLOGIE ALGEBRES C
[4]  
AVRAMOV L, 1974, MATH USSR IZV, V8
[5]  
GUILLIKSEN T, 1969, QUEENS PAPERS PURE A, V20
[6]  
HERZOG, 1981, 6A ATL ESC ALG REC, V14, P33
[7]  
LAZARD D, 1969, B SOC MATH FR, V97, P81
[8]  
MORGENEGG C, 1979, THESIS ECOLE POLYTEC
[9]   HOMOLOGY OF SYMMETRIC ALGEBRAS [J].
NICOLLERAT, M .
COMMUNICATIONS IN ALGEBRA, 1979, 7 (07) :657-676
[10]  
PITTELOUD Y, 1992, THESIS ECOLE POLYTEC