Derived category of the spinor 15-fold
- We construct a full exceptional Lefschetz collection on the spinor 15-fold consisting of a connected component of the space of orthogonal 6-dimensional subspaces of a 12-dimensional complex vector space, isotropic with respect to a fixed non-degenerate quadratic form. The collection is made of 2 twists of a 4-item block and 8 twists of a 3-item block, confirming a conjecture of Kuznetsov and Smirnov. We speculate that a similar collection might work for the Freudenthal E7-variety.
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| Author: | Vladimiro Benedetti, Daniele Faenzi, Maxim N. SmirnovORCiDGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1218555 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/121855 |
| ISSN: | 0021-8693OPAC |
| Parent Title (English): | Journal of Algebra |
| Publisher: | Elsevier BV |
| Place of publication: | Amsterdam |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2025 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2025/05/09 |
| Volume: | 677 |
| First Page: | 460 |
| Last Page: | 496 |
| DOI: | https://doi.org/10.1016/j.jalgebra.2025.04.019 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Algebra und Zahlentheorie | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand) |
