15 citations · 54 across the 15 of their papers we have counts for
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math.RA2019★ 2 cited
Local duality for connected Z-algebras
Izuru Mori, Adam Nyman
We develop basic homological machinery for Z-algebras in order to prove a version of local duality for Ext-finite connected Z-algebras. As an application, we compare two notions of…
math.RA2019★ 15 cited
Noncommutative Knörrer's periodicity theorem and noncommutative quadric hypersurfaces
Izuru Mori, Kenta Ueyama
Noncommutative hypersurfaces, in particular, noncommutative quadric hypersurfaces are major objects of study in noncommutative algebraic geometry. In the commutative case, Knörrer'…
math.AG2019★ 1 cited
Moduli of noncommutative Hirzebruch surfaces
Izuru Mori, Shinnosuke Okawa, Kazushi Ueda
We introduce three non-compact moduli stacks parametrizing noncommutative deformations of Hirzebruch surfaces; the first is the moduli stack of locally free sheaf bimodules of rank…