5 papers · 1 filter
Irreducible noncommutative quadrics
Izuru Mori, Kenta Ueyama, Wenchao Wu
In this paper, we study irreducible noncommutative quadrics via noncommutative graded matrix factorizations. We show that the line modules over are described by the…
Point varieties and point-exactness of Koszul algebras
Haigang Hu, Wenchao Wu, Yu Ye
In this paper, we introduce the point-exact condition for a Koszul algebra , which is useful for characterizing the (G1) condition of in the sense of Mori. Let ,…
Classification of noncommutative central conics
Haigang Hu, Izuru Mori, Wenchao Wu
Classification of noncommutative quadric hypersurfaces is one of the major projects in noncommutative algebraic geometry. In recent years, we are dedicated to complete the classifi…
Noncommutative affine pencils of conics
Haigang Hu, Izuru Mori, Koki Takeda +1
This paper is one of the series of papers which are dedicated to the complete classification of noncommutative conics. In this paper, we define and study noncommutative affine penc…
Noncommutative Knörrer periodicity via equivariantization
Xiao-Wu Chen, Wenchao Wu
We establish noncommutative Knörrer periodicity for projective-module factorizations over an arbitrary ring, using the equivariantization theory with respect to various actions by…