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doi:10.22028/D291-48399 | Title: | Non-existence of Enriques manifolds from OG10 type manifolds |
| Author(s): | Billi, Simone Giovenzana, Franco Giovenzana, Luca Grossi, Annalisa |
| Language: | English |
| Title: | Mathematische Annalen |
| Volume: | 395 |
| Issue: | 4 |
| Publisher/Platform: | Springer Nature |
| Year of Publication: | 2026 |
| DDC notations: | 510 Mathematics |
| Publikation type: | Journal Article |
| Abstract: | We use the LLV algebra to describe the action of a finite order automorphism on the total cohomology of a manifold of OG10 type. As an application, we prove that no Enriques manifolds arise as étale quotients of hyper-Kähler manifolds of OG10 type. This answers a question raised in [10]. |
| DOI of the first publication: | 10.1007/s00208-026-03514-5 |
| URL of the first publication: | https://doi.org/10.1007/s00208-026-03514-5 |
| Link to this record: | urn:nbn:de:bsz:291--ds-483995 hdl:20.500.11880/42322 http://dx.doi.org/10.22028/D291-48399 |
| ISSN: | 1432-1807 0025-5831 |
| Date of registration: | 3-Aug-2026 |
| Faculty: | MI - Fakultät für Mathematik und Informatik |
| Department: | MI - Mathematik |
| Professorship: | MI - Jun.-Prof. Dr. Simon Brandhorst |
| Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| s00208-026-03514-5.pdf | 272,22 kB | Adobe PDF | View/Open |
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