Kahler differentials for points in Pn

被引:10
作者
de Dominicis, G
Kreuzer, M
机构
[1] Univ Regensburg, Fak Math, D-93040 Regensburg, Germany
[2] Univ Genoa, Dipartimento Matemat, I-16146 Genoa, Italy
关键词
D O I
10.1016/S0022-4049(98)00016-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
If R is the homogeneous coordinate ring of a reduced 0-dimensional subscheme of P-n, we study the module of Kahler differentials Omega(R/K)(1). Explicit presentations of it and its torsion submodule are used to describe the module structure. From this we derive many properties of the Hilbert function of Omega(R/K)(1). Finally, this filnction is computed in a number of special cases, in particular for reduced 0-dimensional almost complete intersections. (C) 1999 Elsevier Science B.V. All rights reserved. MSC. Primary 13N05; secondary 14F10, 13D40.
引用
收藏
页码:153 / 173
页数:21
相关论文
共 19 条
[1]  
Alexander J., 1995, J ALGEBRAIC GEOM, V4, P201
[2]  
[Anonymous], 1980, EINFUHRUNG KOMMUTATI
[3]  
Berger Robert W., 1994, ALGEBRAIC GEOMETRY I, P285
[4]  
CAPANI A, 1995, COCOA3 SYSTEM DOING
[5]   GRADED BETTI NUMBERS OF SOME EMBEDDED RATIONAL N-FOLDS [J].
GERAMITA, AV ;
GIMIGLIANO, A ;
PITTELOUD, Y .
MATHEMATISCHE ANNALEN, 1995, 301 (02) :363-380
[6]   CAYLEY-BACHARACH SCHEMES AND THEIR CANONICAL MODULES [J].
GERAMITA, AV ;
KREUZER, M ;
ROBBIANO, L .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 339 (01) :163-189
[7]   THE IDEAL OF FORMS VANISHING AT A FINITE-SET OF POINTS IN PN [J].
GERAMITA, AV ;
MAROSCIA, P .
JOURNAL OF ALGEBRA, 1984, 90 (02) :528-555
[8]  
Goto S., 1978, J MATH SOC JAPAN, V30, P179, DOI [10.2969/jmsj/03020179, DOI 10.2969/JMSJ/03020179]
[9]  
HERRMANN M, 1989, CURVES SEMINAR QUEEN, V6, pH1
[10]   ON THE CANONICAL MODULE OF A 0-DIMENSIONAL SCHEME [J].
KREUZER, M .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1994, 46 (02) :357-379