2001
DOI: 10.1081/agb-100000802
|View full text |Cite
|
Sign up to set email alerts
|

Properties of 3-Codimensional Gorenstein Schemes

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2
1

Citation Types

0
29
0

Year Published

2009
2009
2022
2022

Publication Types

Select...
4
1

Relationship

3
2

Authors

Journals

citations
Cited by 19 publications
(29 citation statements)
references
References 12 publications
0
29
0
Order By: Relevance
“…It turns out that this special form of the structure matrix forces the schemes to have two "natural" subschemes which are determined by the matrix. This approach will permit us to recover an old result of Davis in [4], about Hilbert functions with a "flat part" (see also [10]) and to recover Corollary 3.4 in [11]. From this result we are able to produce an easy way to construct 3-codimensional Gorenstein schemes containing Gorenstein subschemes with less generators than the given scheme, and a way to construct 4-codimensional Gorenstein schemes.…”
Section: Introductionmentioning
confidence: 75%
See 4 more Smart Citations
“…It turns out that this special form of the structure matrix forces the schemes to have two "natural" subschemes which are determined by the matrix. This approach will permit us to recover an old result of Davis in [4], about Hilbert functions with a "flat part" (see also [10]) and to recover Corollary 3.4 in [11]. From this result we are able to produce an easy way to construct 3-codimensional Gorenstein schemes containing Gorenstein subschemes with less generators than the given scheme, and a way to construct 4-codimensional Gorenstein schemes.…”
Section: Introductionmentioning
confidence: 75%
“…Note that the above corollary gives a complete description of the subschemes that were found in Corollary 3.4 in [11]. …”
Section: Subschemes Of Special Schemes 171mentioning
confidence: 99%
See 3 more Smart Citations