104 citations · 185 across the 3 of their papers we have counts for
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math.AG2009★ 79 cited
Hochschild homology and semiorthogonal decompositions
Alexander Kuznetsov
We investigate Hochschild cohomology and homology of admissible subcategories of derived categories of coherent sheaves on smooth projective varieties. We show that the Hochschild…
math.AG2006★ 104 cited
Homological projective duality for Grassmannians of lines
Alexander Kuznetsov
We show that homologically projectively dual varieties for Grassmannians Gr(2,6) and Gr(2,7) are given by certain noncommutative resolutions of singularities of the corresponding P…
math.AG2006★ 2 cited
Lefschetz decompositions and Categorical resolutions of singularities
Alexander Kuznetsov
Let be a singular algebraic variety and let $\TY$ be a resolution of singularities of . Assume that the exceptional locus of $\TY$ over is an irreducible divisor $\TZ$ i…