Changeset fa8122 in git for Singular/LIB/homolog.lib
- Timestamp:
- Jul 25, 2006, 7:54:29 PM (18 years ago)
- Branches:
- (u'spielwiese', '2a584933abf2a2d3082034c7586d38bb6de1a30a')
- Children:
- 47b2502d848a765e4bf5763aa9f99552f24856fb
- Parents:
- d961eb8f3d847df637b17d416b318e54617f0cf2
- File:
-
- 1 edited
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Singular/LIB/homolog.lib
rd961eb rfa8122 1 1 /////////////////////////////////////////////////////////////////////////////// 2 version="$Id: homolog.lib,v 1.2 1 2006-07-18 15:48:21Singular Exp $";2 version="$Id: homolog.lib,v 1.22 2006-07-25 17:54:27 Singular Exp $"; 3 3 category="Commutative Algebra"; 4 4 info=" … … 226 226 proc cupproduct (module M,N,P,int p,q,list #) 227 227 "USAGE: cupproduct(M,N,P,p,q[,any]); M,N,P modules, p,q integers 228 COMPUTE: cup-product Ext^p(M',N') x Ext^q(N',P') ---> Ext^ p+q(M',P'),228 COMPUTE: cup-product Ext^p(M',N') x Ext^q(N',P') ---> Ext^(p+q)(M',P'), 229 229 where M':=R^m/M, if M in R^m, R basering (i.e. M':=coker(matrix(M))) 230 230 ASSUME: all Ext's are of finite dimension 231 231 RETURN: - if called with 5 arguments: matrix of the associated linear map 232 Ext^p (tensor) Ext^q --> Ext^ p+q, i.e. the columns of <matrix>232 Ext^p (tensor) Ext^q --> Ext^(p+q), i.e. the columns of <matrix> 233 233 present the coordinates of the cup products (b_i & c_j) with respect 234 234 to a kbase of Ext^p+q (b_i resp. c_j are the choosen bases of Ext^p,
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