9 citations · 9 across the 1 of their papers we have counts for
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Derived categories of singular surfaces
Joseph Karmazyn, Alexander Kuznetsov, Evgeny Shinder
We develop an approach that allows to construct semiorthogonal decompositions of derived categories of surfaces with cyclic quotient singularities whose components are equivalent t…
The length classification of threefold flops via noncommutative algebras
Joseph Karmazyn
Smooth threefold flops with irreducible centres are classified by the length invariant, which takes values 1, 2, 3, 4, 5 or 6. This classification by Katz and Morrison identifies 6…
Noncommutative Knörrer type equivalences via noncommutative resolutions of singularities
Martin Kalck, Joseph Karmazyn
We construct Knörrer type equivalences outside of the hypersurface case, namely, between singularity categories of cyclic quotient surface singularities and certain finite dimensio…
Deformations of algebras defined by tilting bundles
Joseph Karmazyn
In this paper we produce noncommutative algebras derived equivalent to deformations of schemes with tilting bundles. We do this in two settings, first proving that a tilting bundle…