Please use this identifier to cite or link to this item:
doi:10.22028/D291-45528 | Title: | Classification of symplectic birational involutions of manifolds of OG10 type |
| Author(s): | Marquand, Lisa Muller, Stevell |
| Language: | English |
| Title: | Mathematische Zeitschrift |
| Volume: | 309 |
| Issue: | 4 |
| Publisher/Platform: | Springer Nature |
| Year of Publication: | 2025 |
| Free key words: | Hyperkähler manifolds Cubic fourfold Symplectic involutions Birational transformations |
| DDC notations: | 510 Mathematics |
| Publikation type: | Journal Article |
| Abstract: | We give a complete classification of symplectic birational involutions of manifolds of OG10 type. We approach this classification with three techniques—via involutions of the Leech lattice, via involutions of cubic fourfolds, and finally lattice enumeration via a modified Kneser’s neighbour algorithm. The classification consists of three involutions with an explicit geometric realisation via cubic fourfolds, and three exceptional involutions which cannot be obtained by any known construction. |
| DOI of the first publication: | 10.1007/s00209-025-03697-8 |
| URL of the first publication: | https://link.springer.com/article/10.1007/s00209-025-03697-8 |
| Link to this record: | urn:nbn:de:bsz:291--ds-455280 hdl:20.500.11880/40084 http://dx.doi.org/10.22028/D291-45528 |
| ISSN: | 1432-1823 0025-5874 |
| Date of registration: | 4-Jun-2025 |
| Faculty: | MI - Fakultät für Mathematik und Informatik |
| Department: | MI - Mathematik |
| Professorship: | MI - Prof. Dr. Vladimir Lazić |
| Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
Files for this record:
| File | Description | Size | Format | |
|---|---|---|---|---|
| s00209-025-03697-8.pdf | 458,52 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License
