3 papers
math.RA2026
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…
math.RA2026
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…
math.RA2025
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…