Geodesic
Exceptional collections on isotropic Grassmannians
Journal of the European Mathematical Society, Tome 18 (2016) no. 3, pp. 507-574 Cet article a éte moissonné depuis la source EMS Press

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We introduce a new construction of exceptional objects in the derived category of coherent sheaves on a compact homogeneous space of a semisimple algebraic group and show that it produces exceptional collections of the length equal to the rank of the Grothendieck group on homogeneous spaces of all classical groups.
DOI : 10.4171/jems/596
Classification : 14-XX, 18-XX
Keywords: Exceptional collection, derived category of sheaves, isotropic Grassmannian 
@article{JEMS_2016_18_3_a1,
     author = {Alexander Kuznetsov and Alexander Polishchuk},
     title = {Exceptional collections on isotropic {Grassmannians}},
     journal = {Journal of the European Mathematical Society},
     pages = {507--574},
     year = {2016},
     volume = {18},
     number = {3},
     doi = {10.4171/jems/596},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/596/}
}
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Alexander Kuznetsov; Alexander Polishchuk. Exceptional collections on isotropic Grassmannians. Journal of the European Mathematical Society, Tome 18 (2016) no. 3, pp. 507-574. doi: 10.4171/jems/596

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