Accepted/Published Papers

  1. Extensions of two Chow stability criteria to positive characteristics
    Michigan Math. J. Volume 60, Issue 3 (2011), 687-703 (extended version of my Master thesis).
  2. Semiorthogonal decomposability of the derived category of a curve
    Advances in Math. Volume 228, Issue 5 (2011), 2869-2873.
  3. (with Yujiro Kawamata)
    Mori dream spaces of Calabi-Yau type and the log canonicity of the Cox rings
    Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 701, (2015) 195-203. DOI: 10.1515/crelle-2013-0029
  4. (with Yoshinori Gongyo, Akiyoshi Sannai, and Shunsuke Takagi)
    Characterization of varieties of Fano type via singularities of Cox rings
    Journal of Algebraic Geometry. Volume 24 (2015), no. 1, 159–182.
  5. (with Hokuto Uehara)
    Exceptional sheaves on the Hirzebruch surface F2
    International Mathematics Research Notices. Volume 2015, Issue 23 (2015), 12781-12803.
  6. Surfaces of globally F-regular type are of Fano type
    Accepted for publication in Tohoku Mathematical Journal.
  7. On images of Mori dream spaces
    Mathematische Annalen. Volume 364, Issue 3 (2016), 1315-1342.

Preprints

  1. (with Kazushi Ueda)
    Noncommutative quadric surfaces and noncommutative conifolds
  2. (with Kazushi Ueda)
    Quantum entanglement, Calabi-Yau manifolds, and noncommutative algebraic geometry
  3. (with Tarig Abdelgarid and Kazushi Ueda)
    Compact moduli of noncommutative projective planes
  4. (with Taro Sano)
    Noncommutative rigidity of the moduli stack of stable pointed curves (to be modified in near future)
  5. (with Kotaro Kawatani)
    Nonexistence of semiorthogonal decompositions and sections of the canonical bundle
  6. (with Atsushi Ito, Makoto Miura, and Kazushi Ueda)
    Calabi--Yau complete intersections in G2-Grassmannians
  7. (with Atsushi Ito, Makoto Miura, and Kazushi Ueda)
    The class of the affine line is a zero divisor in the Grothendieck ring: via G2-Grassmannians
  8. (with Atsushi Ito, Makoto Miura, and Kazushi Ueda)
    The class of the affine line is a zero divisor in the Grothendieck ring: via K3 surfaces of degree 12

Other articles (not peer reviewed)

  1. On global Okounkov bodies of Mori dream spaces
    in the proceedings of the Miyako-no-Seihoku Algebraic Geometry Symposium.
  2. 森夢空間にまつわるエトセトラ
    in Japanese, in the proceedings of the Kinosaki Algebraic Geomtery symposium 2011.
  3. 非可換代数曲面(Noncommutative algebraic surfaces, in Japanese)
    61回代数学シンポジウム(7 - 10, Sep, 2016, 佐賀大学)プロシーディングス
  4. 連接層の導来圏と代数多様体のGrothendieck環 (Derived category of coherent sheaves and the Grothendieck ring of algebraic varieties, in Japanese)
    都の西北代数幾何学シンポジウム(15 - 18, Nov, 2016, 早稲田大学)プロシーディングス

Notes

  1. Addendum to ``On Images of Mori Dream Spaces''
  2. An example of a strictly nef divisor with Kodaira dimension -¥infty on a smooth rational surface (after Campana)