論文等

出版論文

  1. Spherical 2-designs as stationary points of many-body systems . (with Kazushi Ueda), Graphs and Combinatorics (2020). [Journal]

  2. Derived equivalence and Grothendieck ring of varieties: the case of K3 surfaces of degree 12 and abelian varieties. (with Atsushi Ito, Shinnosuke Okawa, and Kazushi Ueda), Sel. Math. New Ser. 26, 38 (2020). [Journal][arXiv]

  3. Projective reconstruction in algebraic vision. (with Atsushi Ito, and Kazushi Ueda), Canadian Mathematical Bulletin (2019).[Journal] [arXiv]

  4. Complete intersection Calabi–Yau manifolds with respect to homogeneous vector bundles on Grassmannians. (with Daisuke Inoue, and Atsushi Ito), Math. Z. (2019), 292--677. [Journal] [arXiv]

  5. The class of the affine line is a zero divisor in the Grothendieck ring: via G_2-Grassmannians. (with Atsushi Ito, Shinnosuke Okawa, and Kazushi Ueda), J. Algebraic Geom. 28 (2019), 245--250. [Journal] [arXiv]

  6. Minuscule Schubert varieties and mirror symmetry. SIGMA 13 (2017), 067, 25 pages. [Journal] [arXiv]

  7. I-functions of Calabi–Yau 3-folds in Grassmannians. (with Daisuke Inoue, and Atsushi Ito), Commun. Number Theory Phys. 11 (2017), no. 2, 273--309. [Journal] [arXiv]

  8. Seshadri constants and degree of defining polynomials. (with Atsushi Ito), Math. Ann. 358 (2014), no. 1, 465--476. [Journal] [arXiv]

プレプリント

  1. The web of refllexive polygons is connected. [arXiv]

  2. Calabi–Yau complete intersections in exceptional Grassmannians. (with Atsushi Ito, Shinnosuke Okawa, and Kazushi Ueda). [arXiv] (replaced in 2021).


予稿等

  1. カラビ・ヤウ超曲面の幾何転移 (Geometric transition for Calabi–Yau hypersurfaces), 2021, 城崎代数幾何学シンポジウム報告集. [日本語、pdf]

  2. カメラの幾何学と再構成問題 (Camera geometry and reconstruction problems), 2021, RIMS講究録. [website][日本語、pdf]

  3. Complete intersection Calabi–Yau threefolds in Hibi toric varieties and their smoothing. Algebraic and Geometric Combinatorics on Lattice Polytopes, (2019), 280--295. [Book] [arXiv]

スライド

  1. Calabi–Yau超曲面の幾何転移 . Sep. 15, 2022. [スライド（pdf）]

  2. Multiview varieties and reconstruction problems. Oct. 6, 2018. [スライド（pdf）] (revised: Oct. 15, 2018).

学位論文

  1. Hibi toric varieties and mirror symmetry. 博士論文（pdf） (January 2013), 論文の内容の要旨（日本語、pdf）.

  2. Toric degenerations of Grassmannians and Mirror symmetry. 修士論文（日本語、pdf） (February 2010).