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- Title
On the regularity of the residual scheme.
- Authors
De La Rosa Navarro, B. L.; Failla, G.; Frías Medina, J. B.; Lahyane, M.
- Abstract
In this paper, we deal with the Castelnuovo-Mumford regularity of the residual scheme resY X of X with respect to Y; where X and Y are closed subschemes of the n-dimensional projective space ℙn over an algebraically closed field of arbitrary characteristic, moreover, we characterize it by studying its hyperplane section scheme. In addition, we investigate the case when resY X consists of points in uniform position, in particular we offer a method of constructing a set of points of a given projective space in uniform position.
- Subjects
DIMENSION theory (Topology); PROJECTIVE spaces; HYPERPLANES; SCHEMES (Algebraic geometry); GRADED modules
- Publication
Balkan Journal of Geometry & Its Applications, 2015, Vol 20, Issue 1, p26
- ISSN
1224-2780
- Publication type
Article