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| Title: | A structure result for Gorenstein algebras of odd codimension |
| Author(s): | Stenger, Isabel |
| Language: | English |
| In: | |
| Title: | Journal of Algebra |
| Volume: | 589 (2022) |
| Pages: | 173-187 |
| Publisher/Platform: | Elsevier |
| Year of Publication: | 2021 |
| Free key words: | Gorenstein rings Minimal free resolutions Godeaux surfaces |
| DDC notations: | 500 Science |
| Publikation type: | Journal Article |
| 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 general ize 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. |
| DOI of the first publication: | 10.1016/j.jalgebra.2021.09.016 |
| URL of the first publication: | https://doi.org/10.1016/j.jalgebra.2021.09.016 |
| Link to this record: | urn:nbn:de:bsz:291--ds-419826 hdl:20.500.11880/37568 http://dx.doi.org/10.22028/D291-41982 |
| ISSN: | 0021-.8693 |
| Date of registration: | 30-Apr-2024 |
| Faculty: | MI - Fakultät für Mathematik und Informatik |
| Department: | MI - Mathematik |
| Professorship: | MI - Keiner Professur zugeordnet |
| Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
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