miurror's works

Research Papers

• The web of reflexive polygons is connected,
  arXiv:2207.01632 [math.AG] (2022)
• Calabi–Yau complete intersections in exceptional Grassmannians,
  (with Atsushi Ito, Shinnosuke Okawa, and Kazushi Ueda).
  Categorical and Enumerative Aspects of Mirror Symmetry, KIAS Springer Series in Mathematics 5, pp.103–115 (2026)
• Spherical 2-designs as stationary points of many-body systems,
  (with Kazushi Ueda).
  Graphs and Combinatorics 37, pp.485–492 (2020)
• 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).
  Selecta Mathematica 26, Article number: 38, 27 pages (2020)
• Complete intersection Calabi–Yau threefolds in Hibi toric varieties and their smoothing,
  PDF  Algebraic and Geometric Combinatorics on Lattice Polytopes, pp.280–295 (2019)
• Projective reconstruction in algebraic vision,
  (with Atsushi Ito, and Kazushi Ueda).
  Canadian Mathematical Bulletin 63, Issue 3, pp.592–609 (2020), (published online: 2019)
• Complete intersection Calabi–Yau manifolds with respect to homogeneous vector bundles on Grassmannians,
  (with Daisuke Inoue, and Atsushi Ito).
  Mathematische Zeitschrift 292, pp.677–703 (2019), (published: 2018)
• 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).
  Journal of Algebraic Geometry 28, pp.245–250 (2019), (published electronically: 2018)
• Minuscule Schubert varieties and mirror symmetry,
  Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 13, 067, 25 pages (2017)
• I-functions of Calabi–Yau 3-folds in Grassmannians,
  (with Daisuke Inoue, and Atsushi Ito).
  Communications in Number Theory and Physics 11, no. 2, pp.273–309 (2017)
• Seshadri constants and degree of defining polynomials,
  (with Atsushi Ito).
  Mathematische Annalen 358, pp.465–476 (2014), (published: 2013)

Documents

• 多面体の大域連結性について,
  日本数学会秋季総合分科会, 東北大学, 2023年9月20–23日.
  
  • 講演アブストラクト: PDF (in Japanese)
  • スライド: PDF (in Japanese)
• Calabi–Yau 超曲面の幾何転移,
  日本数学会秋季総合分科会, 北海道大学, 2022年9月15日.
  
  • 講演アブストラクト: PDF (in Japanese)
  • スライド: PDF (in Japanese)
• カラビ・ヤウ超曲面の幾何転移,
  代数幾何学シンポジウム記録, pp.102–118, 正誤表連結済み (2023): PDF (in Japanese)
  • Symposium on algebraic geometry (Kinosaki, 2021), pp.102–118,
  • 正誤表 (2023): PDF (in Japanese)
• カメラと代数幾何学,
  第33回数学カフェ, 2021年3月7日,
  • 講演概要: PDF (in Japanese)
  • 講演ノート (手書き, 2022年7月8日改訂): PDF (in Japanese)
• カメラの幾何学と再構成問題,
  PDF (in Japanese)   数理解析研究所講究録 2186, pp.61–74 (2021)
• Exploratory Data: Hodge Number Plots (since 2020),
  
  • 30108 Hodge number data from [Kreuzer–Skarke 2000] color-coded by half-Euler number parity: PDF
  • frequency of reflexive polytopes over Kreuzer–Skarke's Hodge number data: PDF
  • 266 (partially missing) Hodge number data from [He–Candelas 1990] plotted over Kreuzer–Skarke's data: PDF
  • 389 Hodge number data from [Batyrev–Kreuzer 2010] plotted over Kreuzer–Skarke's data: PDF
• Multiview varieties and reconstruction problems,
  Joint meeting of the Korean Mathematical Society and the German Mathematical Society, COEX, Seoul, Oct. 6, 2018, slide (revised: Oct. 15, 2018): PDF
• Linear section Calabi–Yau threefolds in Hibi toric varieties,
  Symposium on algebraic geometry (Kinosaki, 2014), p.125
  poster: PDF
• Hibi toric varieties and mirror symmetry,
  PhD Thesis (2013),
  • thesis: PDF
  • 論文の内容の要旨: PDF (in Japanese)
• Mirror symmetry for complete intersection Calabi–Yau threefolds in Gorenstein minuscule Schubert varieties,
  Symposium on algebraic geometry (Kinosaki, 2011), p.158
  poster: PDF
• Grassmann 多様体のトーリック退化とミラー対称性,
  修士論文 (2010): PDF (in Japanese)