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Gorenstein Schemes on General Hypersurfaces of ℙr
- Source :
- Nagoya Mathematical Journal. 162:111-125
- Publication Year :
- 2001
- Publisher :
- Cambridge University Press (CUP), 2001.
-
Abstract
- It is completely known the characterization of all Hilbert functions and all graded Betti numbers for 3-codimensional arithmetically Gorenstein subschemes of ℙr (works of Stanley [St] and Diesel [Di]). In this paper we want to study how geometrical information on the hypersurfaces of minimal degree containing such schemes affect both their Hilbert functions and graded Betti numbers. We concentrate mainly on the case of general hypersurfaces and of irreducible hypersurfaces, for which we find strong restrictions for the Hilbert functions and graded Betti numbers of their subschemes.
- Subjects :
- Discrete mathematics
Pure mathematics
Mathematics::Commutative Algebra
Degree (graph theory)
010308 nuclear & particles physics
Betti number
General Mathematics
010102 general mathematics
Characterization (mathematics)
01 natural sciences
Mathematics::Algebraic Geometry
0103 physical sciences
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 21526842 and 00277630
- Volume :
- 162
- Database :
- OpenAIRE
- Journal :
- Nagoya Mathematical Journal
- Accession number :
- edsair.doi...........67df349365bb23a4787a8a625187f56f