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Title
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Derived categories of the cayley plane and the coadjoint grassmannian of type f
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Author
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Abstract
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| For the derived category of the Cayley plane, which is the cominuscule Grassmannian of Dynkin type E-6, a full Lefschetz exceptional collection was constructed by Faenzi and Manivel. A general hyperplane section of the Cayley plane is the coadjoint Grassmannian of Dynkin type F-4. We show that the restriction of the Faenzi-Manivel collection to such a hyperplane section gives a full Lefschetz exceptional collection, providing the first example of a full exceptional collection on a homogeneous variety of Dynkin type F. |
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Language
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English
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Source (journal)
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Transformation groups
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Publication
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New york
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Springer birkhauser
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2023
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ISSN
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1083-4362
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DOI
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10.1007/S00031-021-09657-W
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Volume/pages
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28
:1
(2023)
, p. 9-34
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ISI
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000650119900001
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Full text (Publisher's DOI)
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Full text (open access)
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Full text (publisher's version - intranet only)
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