Details
| Original language | English |
|---|---|
| Pages (from-to) | 173-187 |
| Number of pages | 15 |
| Journal | Journal of algebra |
| Volume | 589 |
| Early online date | 30 Sept 2021 |
| Publication status | Published - 1 Jan 2022 |
| Externally published | Yes |
Abstract
The famous structure theorem of Buchsbaum and Eisenbud gives a complete characterization of Gorenstein ideals of codimension 3 and their minimal free resolutions. We generalize the ideas of Buchsbaum and Eisenbud from Gorenstein ideals to Gorenstein algebras and present a description of Gorenstein algebras of any odd codimension. As an application we study the canonical ring of a numerical Godeaux surface.
Keywords
- Godeaux surfaces, Gorenstein rings, Minimal free resolutions
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
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In: Journal of algebra, Vol. 589, 01.01.2022, p. 173-187.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A structure result for Gorenstein algebras of odd codimension
AU - Stenger, Isabel
N1 - Publisher Copyright: © 2021 Elsevier Inc.
PY - 2022/1/1
Y1 - 2022/1/1
N2 - The famous structure theorem of Buchsbaum and Eisenbud gives a complete characterization of Gorenstein ideals of codimension 3 and their minimal free resolutions. We generalize the ideas of Buchsbaum and Eisenbud from Gorenstein ideals to Gorenstein algebras and present a description of Gorenstein algebras of any odd codimension. As an application we study the canonical ring of a numerical Godeaux surface.
AB - The famous structure theorem of Buchsbaum and Eisenbud gives a complete characterization of Gorenstein ideals of codimension 3 and their minimal free resolutions. We generalize the ideas of Buchsbaum and Eisenbud from Gorenstein ideals to Gorenstein algebras and present a description of Gorenstein algebras of any odd codimension. As an application we study the canonical ring of a numerical Godeaux surface.
KW - Godeaux surfaces
KW - Gorenstein rings
KW - Minimal free resolutions
UR - http://www.scopus.com/inward/record.url?scp=85116488419&partnerID=8YFLogxK
U2 - 10.1016/j.jalgebra.2021.09.016
DO - 10.1016/j.jalgebra.2021.09.016
M3 - Article
AN - SCOPUS:85116488419
VL - 589
SP - 173
EP - 187
JO - Journal of algebra
JF - Journal of algebra
SN - 0021-8693
ER -