1 citations · 2 across the 7 of their papers we have counts for
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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…
Quasi-diagrams and gentle algebras
Haigang Hu, Xiao-Chuang Wang, Yu Ye
Any gentle algebra with one maximal path corresponds to a unique quasi-diagram . We introduce the regularity for , and show that has finite global dimension if and on…
Clifford quadratic complete intersections
Haigang Hu, Izuru Mori
In this paper, we define and study Clifford quadratic complete intersections. After showing some properties of Clifford quantum polynomial algebras, we show that there is a natural…
Noncommutative conics in Calabi-Yau quantum projective planes
Haigang Hu, Masaki Matsuno, Izuru Mori
In noncommutative algebraic geometry, noncommutative quadric hypersurfaces are major objects of study. In this paper, we focus on studying noncommutative conics $\operatorname{Proj…
Classification of noncommutative conics associated to symmetric regular superpotentials
Haigang Hu
Let be a -dimensional quantum polynomial algebra, and a central regular element. The quotient algebra is called a noncommutative conic. For a noncomm…