9 citations · 14 across the 4 of their papers we have counts for
7 papers · 1 filter
Trivial extension DG-algebras, unitally positive -algebras, and applications
Joseph Karmazyn, Emma Lepri, Michael Wemyss
To any periodic module over any algebra, this paper introduces an associated trivial extension DG-algebra T. After first passing to a strictly unital -minimal model, it t…
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…
Multigraded linear series and recollement
Alastair Craw, Yukari Ito, Joseph Karmazyn
Given a scheme equipped with a collection of globally generated vector bundles , we study the universal morphism from to a fine moduli space $\mathcal{M}(E…
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…
Quiver GIT for Varieties with Tilting Bundles
Joseph Karmazyn
In the setting of a variety admitting a tilting bundle we consider the problem of constructing as a quiver GIT quotient of the endomorphism algebra $A=\textrm{End}_X(T)…