2020
DOI: 10.1093/imrn/rnaa098
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Full Exceptional Collections on Lagrangian Grassmannians

Abstract: We show fullness of the exceptional collections of maximal length constructed by Kuznetsov and Polishchuk in the bounded derived categories of coherent sheaves on Lagrangian Grassmannians.

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Cited by 7 publications
(13 citation statements)
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“…Once we apply the forgetful functor from D b G (LGr(n, V )) to D b (LGr(n, V )), we see that the same equality holds in the non-equivariant derived category. 4 In a similar fashion one proves that…”
Section: Resultsmentioning
confidence: 54%
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“…Once we apply the forgetful functor from D b G (LGr(n, V )) to D b (LGr(n, V )), we see that the same equality holds in the non-equivariant derived category. 4 In a similar fashion one proves that…”
Section: Resultsmentioning
confidence: 54%
“…which follows from the structure of Kapranov's exceptional collection on Gr(n, V ) and its dual, see [4,Lemma 3.7].…”
Section: Resultsmentioning
confidence: 99%
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