Geodesic
Derived categories of Grassmannians: a survey
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 79 (2024) no. 5, pp. 807-845

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We discuss what is known about the structure of the bounded derived categories of coherent sheaves on the Grassmannians of simple algebraic groups. Bibliography: 39 titles.
Keywords: derived categories, Grassmannians, Kuznetsov–Polishchuk construction.
Mots-clés : exceptional collections, Lefschetz decompositions 
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A. V. Fonarev. Derived categories of Grassmannians: a survey. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 79 (2024) no. 5, pp. 807-845. http://geodesic.mathdoc.fr/item/RM_2024_79_5_a1/