Geodesic
On the Kuznetsov--Polishchuk conjecture
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematics, mechanics, and mathematical physics, Tome 290 (2015), pp. 18-33

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We prove a conjecture by A. Kuznetsov and A. Polishchuk on the existence of some particular full exceptional collections in bounded derived categories of coherent sheaves on Grassmann varieties. 
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     author = {A. V. Fonarev},
     title = {On the {Kuznetsov--Polishchuk} conjecture},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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     volume = {290},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2015_290_a1/}
}
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A. V. Fonarev. On the Kuznetsov--Polishchuk conjecture. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematics, mechanics, and mathematical physics, Tome 290 (2015), pp. 18-33. http://geodesic.mathdoc.fr/item/TM_2015_290_a1/