ON THE CANONICAL MODULE OF A 0-DIMENSIONAL SCHEME

KREUZER, M (1994) ON THE CANONICAL MODULE OF A 0-DIMENSIONAL SCHEME. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 46 (2). pp. 357-379. ISSN 0008-414X,

Full text not available from this repository.

Abstract

The main topic of this paper is to give characterizations of geometric properties of 0-dimensional subschemes X subset-or-equal-to P(d) 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.

Item Type: Article
Uncontrolled Keywords: COMPLETE-INTERSECTIONS; FREE RESOLUTIONS; CURVES;
Depositing User: Dr. Gernot Deinzer
Last Modified: 19 Oct 2022 08:40
URI: https://pred.uni-regensburg.de/id/eprint/53332

Actions (login required)

View Item View Item