9 citations · 14 across the 4 of their papers we have counts for
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math.AG2017
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…
math.AG2017★ 9 cited
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…
math.AG2017
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…