177 citations · 1.9k across the 60 of their papers we have counts for
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math.AG2022★ 4 cited
Homologically finite-dimensional objects in triangulated categories
Alexander Kuznetsov, Evgeny Shinder
In this paper we investigate homologically finite-dimensional objects in the derived category of a given small dg-enhanced triangulated category. Using these we define reflexivity,…
math.AG2022
On higher-dimensional del Pezzo varieties
Alexander Kuznetsov, Yuri Prokhorov
We study del Pezzo varieties, higher-dimensional analogues of del Pezzo surfaces. In particular, we introduce ADE classification of del Pezzo varieties, show that in type A the dim…
math.AG2022★ 3 cited
Derived categories of families of Fano threefolds
Alexander Kuznetsov
We construct -linear semiorthogonal decompositions of derived categories of smooth Fano threefold fibrations with relative Picard rank and rational geometric fibers an…