Kenta Ueyama's Homepage

Department of Mathematics, Faculty of Education, Hirosaki University

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Research

Publications and Preprints

1. Derived categories of skew quadric hypersurfaces
   preprint [arXiv]
   
2. Combinatorial study of stable categories of graded Cohen-Macaulay modules over skew quadric hypersurfaces
   with Akihiro Higashitani, Collect. Math., to appear [arXiv]
   
3. Noncommutative Knörrer's periodicity theorem and noncommutative quadric hypersurfaces
   with Izuru Mori, preprint [arXiv]
   
4. Hochschild cohomology related to graded down-up algebras with weights (1,n)
   with Ayako Itaba, J. Algebra Appl., to appear [arXiv, journal]
   
5. On Knörrer periodicity for quadric hypersurfaces in skew projective spaces
   Canad. Math. Bull. 62 (2019), no. 4, 896-911 [arXiv, journal]
   
6. Noncommutative matrix factorizations with an application to skew exterior algebras
   with Izuru Mori, preprint [arXiv]
   
7. A categorical characterization of quantum projective spaces
   with Izuru Mori, J. Noncommut. Geom., to appear [arXiv]
   
8. The classification of 3-dimensional noetherian cubic Calabi-Yau algebras
   with Izuru Mori, J. Pure Appl. Algebra 223 (2019), no. 5, 1946-1965 [arXiv, journal]
   
9. Cluster tilting modules and noncommutative projective schemes
   Pacific J. Math. 289 (2017), no. 2, 449-468 [arXiv, journal]
   
10. Stable categories of graded maximal Cohen-Macaulay modules over noncommutative quotient singularities
    with Izuru Mori, Adv. Math. 297 (2016), 54-92 [arXiv, journal]
    
11. Ample group action on AS-regular algebras and noncommutative graded isolated singularities
    with Izuru Mori, Trans. Amer. Math. Soc. 368 (2016), no. 10, 7359-7383 [arXiv, journal]
    
12. Noncommutative graded algebras of finite Cohen-Macaulay representation type
    Proc. Amer. Math. Soc. 143 (2015), no. 9, 3703-3715 [pdf, journal]
    
13. Graded maximal Cohen-Macaulay modules over noncommutative graded Gorenstein isolated singularities
    J. Algebra 383 (2013), 85-103 [pdf, journal]
    
14. Gorenstein dimension and AS-Gorenstein algebras
    Comm. Algebra 42 (2014), no. 10, 4253-4268 [pdf, journal]
    
15. Graded Morita equivalences for geometric AS-regular algebras
    with Izuru Mori, Glasg. Math. J. 55 (2013), no. 2, 241-257 [pdf, journal]
    
16. Graded Morita equivalences for generic Artin-Schelter regular algebras
    Kyoto J. Math. 51 (2011), no. 2, 485-501 [pdf, journal]
    
17. Geometric classification of quadratic algebras in two variables
    Tsukuba J. Math. 34 (2010), no. 1, 79-96 [pdf, journal]

Unrefereed Publications (English papers only)

1. Noncommutative matrix factorizations and noncommutative Knörrer's periodicity
   with Izuru Mori, Proceedings of the 52nd Symposium on Ring Theory and Representation Theory, 73-80 (2020)
   
2. Hochschild cohomology of Beilinson algebras of graded down-up algebras
   with Ayako Itaba, Proceedings of the 52nd Symposium on Ring Theory and Representation Theory, 29-34 (2020)
   
3. When is an abelian category a quantum projective space?
   with Izuru Mori, Proceedings of the 50th Symposium on Ring Theory and Representation Theory, 131-136 (2018)
   
4. 3-dimensional cubic Calabi-Yau algebras and superpotentials
   Proceedings of the 49th Symposium on Ring Theory and Representation Theory, 155-169 (2017)
   
5. Tilting objects for noncommutative quotient singularities
   with Izuru Mori, Proceedings of the 48th Symposium on Ring Theory and Representation Theory, 107-113 (2016)
   
6. Noncommutative graded Gorenstein isolated singularities
   Proceedings of the 45th Symposium on Ring Theory and Representation Theory, 158-163 (2013)
   
7. Noncommutative graded isolated singularities and fixed subalgebras
   Proceedings of the 34th Symposium on Commutative Algebras in Japan, 196-204 (2013)
   
8. Graded Frobenius algebras and quantum Beilinson algebras
   Proceedings of the 44th Symposium on Ring Theory and Representation Theory, 180-186 (2012)
   
9. On Graded Morita equivalences for AS-regular algebras
   Proceedings of the 43rd Symposium on Ring Theory and Representation Theory, 79-84 (2011)
   

Selected Talks

• Stable categories of graded Cohen-Macaulay modules over skew quadric hypersurfaces
  2019 Noncommutative Algebraic Geometry Shanghai Workshop, Fudan University, China, November 13 2019
• Knörrer's periodicity for skew quadric hypersurfaces
  The Eighth China-Japan-Korea International Symposium on Ring Theory, Nagoya University, Japan, August 27 2019
• Noncommutative projective schemes having a homogeneous coordinate ring of finite global dimension
  RIMS workshop: Noncommutative Algebraic Geometry and Related Topics, Kyoto University, Japan, September 27 2017
• Stable categories of graded maximal Cohen-Macaulay modules over noncommutative quotient singularities
  The Seventh China-Japan-Korea International Conference on Ring Theory, Zhejiang University of Technology, China, July 2 2015
• Ample group action and isolated singularity
  with Izuru Mori, Regularity and Rigidity of Noncommutative Algebras, University of Washington, USA, March 23 2014
• Ample group actions on AS-regular algebras and noncommutative graded isolated singularities
  Perspectives of Representation Theory of Algebras, Conference honoring Kunio Yamagata on the occasion of his 65th birthday, Nagoya University, Japan, November 15 2013
• Fixed subalgebras of AS-regular algebras under ample group actions
  Seminar Talk at the School of Mathematical Sciences, Fudan University, China, September 10 2013
• Artin-Schelter Gorenstein algebras with isolated singularities
  RIMS workshop: Noncommutative Algebraic Geometry and Related Topics, Kyoto University, Japan, July 1 2013
• Graded maximal Cohen-Macaulay modules over noncommutative graded Gorenstein isolated singularities
  International Conference on Representations of Algebras (ICRA 2012), Bielefeld University, Germany, August 17 2012
  
• Some results on AS-Gorenstein algebras
  The Sixth China-Japan-Korea International Conference on Ring and Module Theory, Kyung Hee University at Suwon, Korea, July 1 2011