3 papers
math.AG2025
Non-commutative Grassmann variety as a moduli space
Yujiro Kawamata
We construct a non-commutative version of the Grassmann variety as a non-commutative moduli space of linear subspaces in a projective space.
math.AG2025
Non-commutative deformations of tilting bundles and the derived McKay correspondence
Yujiro Kawamata
We prove that the tilting bundle and the derived McKay correspondence extends under formal non-commutative deformations by using Cech cohomology of non-commutative schemes.
math.AG2024
Non-Commutative Deformations of Derived McKay Correspondence for A(n) singularities
Yujiro Kawamata
The derived McKay correspondence conjecture says that there is an equivalence of triangulated categories between the bounded derived categories of commutative and non-commutative c…