10 citations · 12 across the 6 of their papers we have counts for
7 papers
Classifications of 3-dimensional cubic AS-regular algebras whose point schemes are not integral
Ayako Itaba, Masaki Matsuno, Yu Saito
By the result of Artin--Tate--Van den Bergh, every -dimensional cubic AS-regular algebra A can be expressed as a geometric algebra , where is either $\ma…
Defining relations of 3-dimensional cubic AS-regular algebras of Type P, S and T
Masaki Matsuno, Yu Saito
Classification of AS-regular algebras is one of the most important projects in noncommutative algebraic geometry. Recently, Itaba and the first author gave a complete list of defin…
Twisted algebras of geometric algebras
Masaki Matsuno
A twisting system is one of the major tools to study graded algebras, however, it is often difficult to construct a (non-algebraic) twisting system if a graded algebra is given by…
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…
A complete classification of -dimensional quadratic AS-regular algebras of Type EC
Masaki Matsuno
Classification of AS-regular algebras is one of the main interests in noncommutative algebraic geometry. We say that a -dimensional quadratic AS-regular algebra is of Type EC if…
AS-regularity of geometric algebras of plane cubic curves
Ayako Itaba, Masaki Matsuno
Let be an algebraically closed field of characteristic and a graded -algebra finitely generated in degree . In this paper, for -dimensional quadratic AS-regula…
Defining relations of 3-dimensional quadratic AS-regular algebras
Ayako Itaba, Masaki Matsuno
Classification of AS-regular algebras is one of the main interests in non-commutative algebraic geometry. Recently, a complete list of superpotentials (defining relations) of all $…