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On the Canonical Module of A 0-Dimensional Scheme

Published online by Cambridge University Press:  20 November 2018

Martin Kreuzer
Martin Kreuzer*
Affiliation:
Fakultätfür Mathematik Universität Regensburg Postfach 397 D-93040 Regensburg Germany
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Abstract

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The main topic of this paper is to give characterizations of geometric properties of O-dimensional subschemes in terms of the algebraic structure of the canonical module of their projective coordinate ring. We characterize Cayley- Bacharach, (higher order) uniform position, linearly and higher order general position properties, and derive inequalities for the Hilbert functions of such schemes. Finally we relate the structure of the canonical module to properties of the minimal free resolution of X.

Keywords

14C9913C05
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 46 , Issue 2 , 01 April 1994 , pp. 357 - 379
Copyright
Copyright © Canadian Mathematical Society 1994

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