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Минимальные лефшецевы разложения производных категорий грассманианов

Published in Известия Российской академии наук Серия математическая • Jan 1, 2013
NobleIDNI9P41W47R16S03
Authors:
Антон Вячеславович Фонарeв
,
Anton Fonarev

Abstract

We construct two Lefschetz decompositions of the derived category of coherent sheaves on the Grassmannian of $k$-dimensional subspaces in a vector space of dimension $n$. Both of them admit a Lefschetz basis consisting of equivariant vector bundles. We prove fullness of the first decomposition and c...

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