miurror's works
Research Papers
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Calabi–Yau complete intersections in exceptional Grassmannians,
(with Atsushi Ito, Shinnosuke Okawa, and Kazushi Ueda).
arXiv:1606.04076v4 [math.AG] (2022)
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The web of reflexive polygons is connected,
arXiv:2207.01632 [math.AG] (2022)
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Spherical 2-designs as stationary points of many-body systems,
(with Kazushi Ueda).
Graphs and Combinatorics 37, pp.485–492 (2020)
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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)
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Complete intersection Calabi–Yau threefolds in Hibi toric varieties and their smoothing,
PDF
Algebraic and Geometric Combinatorics on Lattice Polytopes, pp.280–295 (2019)
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Projective reconstruction in algebraic vision,
(with Atsushi Ito, and Kazushi Ueda).
Canadian Mathematical Bulletin 63, Issue 3, pp.592–609 (2020),
(published online: 2019)
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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)
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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)
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Minuscule Schubert varieties and mirror symmetry,
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 13, 067, 25 pages (2017)
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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)
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Seshadri constants and degree of defining polynomials,
(with Atsushi Ito).
Mathematische Annalen 358, pp.465–476 (2014),
(published: 2013)
Documents
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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.
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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.
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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)
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カメラと代数幾何学,
第33回数学カフェ, 2021年3月7日,
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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)
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Exploratory Data: Hodge Number Plots (since 2020),
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30108 Hodge number data from
[Kreuzer–Skarke 2000] color-coded by half-Euler number parity:
PDF
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frequency of reflexive polytopes over Kreuzer–Skarke's Hodge number data:
PDF
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266 (partially missing) Hodge number data from
[He–Candelas 1990]
plotted over Kreuzer–Skarke's data:
PDF
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389 Hodge number data from
[Batyrev–Kreuzer 2010]
plotted over Kreuzer–Skarke's data:
PDF
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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
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Linear section Calabi–Yau threefolds in Hibi toric varieties,
Symposium on algebraic geometry (Kinosaki, 2014), p.125
poster:
PDF
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Hibi toric varieties and mirror symmetry,
PhD Thesis (2013),
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Mirror symmetry for complete intersection Calabi–Yau threefolds in Gorenstein minuscule Schubert varieties,
Symposium on algebraic geometry (Kinosaki, 2011), p.158
poster:
PDF
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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)
Software & Web Applications
Materials unrelated to mathematics
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Japanese Recipes (at the KIAS Cooking Club, 2018),
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Gyoza (餃子):
PDF
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Tonjiru and Yaki-Onigiri (豚汁・焼きおにぎり):
PDF