Accepted/Published Papers
-
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).
- Semiorthogonal decomposability of the
derived category of a curve
Advances in Math. Volume 228, Issue 5 (2011), 2869-2873.
- (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
- (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.
DOI: https://doi.org/10.1090/S1056-3911-2014-00641-X
- (with Hokuto Uehara)
Exceptional sheaves on the Hirzebruch surface F2
International Mathematics Research Notices.
Volume 2015, Issue 23 (2015), 12781-12803. DOI: https://doi.org/10.1093/imrn/rnv079
-
Surfaces of globally F-regular type are of Fano type
Tohoku Math. J. (2) Volume 69, Number 1 (2017), 35-42.
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On images of Mori dream spaces
Mathematische Annalen.
Volume 364, Issue 3 (2016), 1315-1342.
DOI: 10.1007/s00208-015-1245-5
- (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
to appear in JAG
-
An example of birationally inequivalent projective symplectic varieties which are D-equivalent and L-equivalent
to appear in Mathematische Zeitschrift
Preprints
- (with Kazushi Ueda)
Noncommutative quadric surfaces and noncommutative conifolds
- (with Kazushi Ueda)
Quantum entanglement, Calabi-Yau manifolds, and noncommutative algebraic geometry
- (with Tarig Abdelgarid and Kazushi Ueda)
Compact moduli of noncommutative projective planes
- (with Taro Sano)
Noncommutative rigidity of the moduli stack of stable pointed curves
(major revision in v2. Contribution from twisted sectors is newly discussed.)
- (with Kotaro Kawatani)
Nonexistence of semiorthogonal decompositions and sections of the canonical bundle
- (with Atsushi Ito, Makoto Miura, and Kazushi Ueda)
Calabi--Yau complete intersections in G2-Grassmannians
- (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
- (with Daniel Chan, Kenneth Chan, Louis de Thanhoffer de Völcsey, Colin Ingalls, Kelly Jabbusch, Sándor J Kovács, Rajesh Kulkarni, Boris Lerner, Basil Nanayakkara, Michel Van den Bergh)
The minimal model program for b-log canonical divisors and applications
- (with Rikito Ohta)
On ruled surfaces with big anti-canonical divisor and numerically trivial divisors on weak log Fano surfaces
Other articles (not peer reviewed)
- On global Okounkov bodies of Mori dream spaces
in the proceedings of the
Miyako-no-Seihoku Algebraic Geometry Symposium.
- 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.
-
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
-
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
- Addendum to ``On Images of Mori Dream Spaces''
-
An example of a strictly nef divisor with Kodaira dimension -¥infty
on a smooth rational surface (after Campana)