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Exceptional collections for Grassmannians of isotropic lines
Author(s) -
Kuznetsov Alexander
Publication year - 2008
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/pdm056
Subject(s) - section (typography) , subject (documents) , mathematics , library science , algebra over a field , mathematics subject classification , citation , computer science , combinatorics , pure mathematics , operating system
We construct a full exceptional collection of vector bundles in the derived categories of coherent sheaves on the Grassmannian of isotropic two‐dimensional subspaces in a symplectic vector space of dimension 2 n and in an orthogonal vector space of dimension 2 n + 1 for all n .