177 citations · 1.9k across the 60 of their papers we have counts for
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math.AG2012★ 59 cited
Categorical resolutions of irrational singularities
Alexander Kuznetsov, Valery A. Lunts
We show that the derived category of any singularity over a field of characteristic 0 can be embedded fully and faithfully into a smooth triangulated category which has a semiortho…
math.AG2012★ 35 cited
Height of exceptional collections and Hochschild cohomology of quasiphantom categories
Alexander Kuznetsov
We define the normal Hochschild cohomology of an admissible subcategory of the derived category of coherent sheaves on a smooth projective variety --- a graded vector space whi…
math.AG2012★ 64 cited
Instanton bundles on Fano threefolds
Alexander Kuznetsov
We introduce the notion of an instanton bundle on a Fano threefold of index 2. For such bundles we give an analogue of a monadic description and discuss the curve of jumping lines.…