藤田 直樹 (Fujita, Naoki)

熊本大学 大学院先端科学研究部
e-mail: fnaoki ``at'' kumamoto-u.ac.jp

査読付き学術雑誌掲載論文:

• H. Abe, N. Fujita, and H. Zeng,
  Fano and weak Fano Hessenberg varieties,
  Michigan Math. J. 73 (2023), 511–555.
• N. Fujita,
  Newton-Okounkov polytopes of flag varieties and marked chain-order polytopes,
  Trans. Amer. Math. Soc. Series B 10 (2023), 452–481.
• N. Fujita,
  Schubert calculus from polyhedral parametrizations of Demazure crystals,
  Adv. Math. 397 (2022), Paper No. 108201, 42 pages.
• N. Fujita and A. Higashitani,
  Newton-Okounkov bodies of flag varieties and combinatorial mutations,
  Int. Math. Res. Not. IMRN 2021 (2021), 9567–9607.
• N. Fujita, E. Lee, and D. Y. Suh,
  Algebraic and geometric properties of flag Bott-Samelson varieties and applications to representations,
  Pacific J. Math. 309 (2020), 145–194.
• H. Abe, N. Fujita, and H. Zeng,
  Geometry of regular Hessenberg varieties,
  Transform. Groups 25 (2020), 305–333.
• N. Fujita,
  Polyhedral realizations of crystal bases and convex-geometric Demazure operators,
  Selecta Math. (N.S.) 25 (2019), Paper No. 74, 35 pages.
• N. Fujita,
  Newton-Okounkov bodies for Bott-Samelson varieties and string polytopes for generalized Demazure modules,
  J. Algebra 515 (2018), 408–447.
• N. Fujita,
  Folding procedure for Newton-Okounkov polytopes of Schubert varieties,
  Comm. Algebra 46 (2018), 2666–2692.
• N. Fujita and H. Oya,
  A comparison of Newton-Okounkov polytopes of Schubert varieties,
  J. Lond. Math. Soc. (2) 96 (2017), 201–227.
• N. Fujita and S. Naito,
  Newton-Okounkov convex bodies of Schubert varieties and polyhedral realizations of crystal bases,
  Math. Z. 285 (2017), 325–352.

論文集（査読有り）:

• M. Bernal Guillén, D. Corey, M. Donten-Bury, N. Fujita, and G. Merz,
  Khovanskii bases of Cox-Nagata rings and tropical geometry,
  in Combinatorial Algebraic Geometry,
  Fields Inst. Commun. Vol. 80, Springer, New York, 2017, 159–179.

プレプリント:

• Y. Cho, N. Fujita, A. Higashitani, and E. Lee,
  Newton-Okounkov polytopes of type A flag varieties of small ranks arising from cluster structures,
  preprint 2023, arXiv:2310.06477v1.
• N. Fujita and Y. Nishiyama,
  Combinatorics of semi-toric degenerations of Schubert varieties in type C,
  preprint 2023, arXiv:2306.14485v1.
• Y. Cho, N. Fujita, and E. Lee,
  On combinatorics of string polytopes in types B and C,
  preprint 2023, arXiv:2306.11242v1.
• N. Fujita,
  Semi-toric degenerations of Richardson varieties arising from cluster structures on flag varieties,
  preprint 2021, arXiv:2110.12731v1.
• N. Fujita and H. Oya,
  Newton-Okounkov polytopes of Schubert varieties arising from cluster structures,
  preprint 2020, arXiv:2002.09912v2.

講究録・報告集など（査読なし）:

• C 型ストリング多面体の組合せ論,
  Algebraic Lie Theory and Representation Theory 2023 報告集, 184–192 (2024).
• シューベルト・カルキュラスと凸多面体,
  日本数学会2023年度年会・代数学分科会・特別講演アブストラクト, 27–40 (2023).
• 既約表現の essential 基底と marked chain-order 多面体,
  Algebraic Lie Theory and Representation Theory 2021 報告集, 147–156 (2021).
• 表現論的特殊多面体に対する組合せ論的変異,
  RIMS 講究録 No. 2183 「組合せ論的表現論の最近の進展」, 176–187 (2021).
• クラスター構造から生じる Newton-Okounkov 凸体と付随するトーリック退化,
  日本数学会2021年度年会・トポロジー分科会・特別講演アブストラクト, 49–58 (2021).
• Newton-Okounkov 凸体およびクラスター構造から生じるトーリック退化,
  日本数学会2020年度年会・トポロジー分科会・特別講演アブストラクト, 27–36 (2020).
• 弱ファノ正則半単純ヘッセンバーグ多様体の分類,
  Algebraic Lie Theory and Representation Theory 2019 報告集, 81–89 (2019).
• 多面体に対する差分商作用素と結晶基底の多面体表示,
  RIMS 講究録 No. 2127 「組合せ論的表現論の諸相」, 130–139 (2019).
• Tensor product representations from Newton-Okounkov bodies,
  第15回数学総合若手研究集会 Technical Report 176, 63–70 (2019).
• 正則ヘッセンバーグ多様体とその族の幾何学,
  Algebraic Lie Theory and Representation Theory 2018 報告集, 117–125 (2018).
• 旗 Bott-Samelson 多様体の幾何学的および表現論的側面,
  RIMS 講究録 No. 2098 「変換群論における幾何・代数・組み合わせ論」, 111–119 (2018).
• 結晶基底の多面体表示と正値性を持つ完全基底,
  RIMS 講究録 No. 2075 「表現論と組合せ論」, 35–45 (2018).
• Folding procedure for Newton-Okounkov polytopes of flag varieties,
  第14回数学総合若手研究集会 Technical Report 173, 95–103 (2018).
• シューベルト多様体の Newton-Okounkov 多面体と folding method,
  Algebraic Lie Theory and Representation Theory 2016 報告集, 9–21 (2016).
• シューベルト多様体の Newton-Okounkov 凸体と結晶基底の多面体表示,
  RIMS 講究録 No. 1992 「組合せ論的表現論とその周辺」, 18–32 (2016).
• Bott-Samelson 多様体の Newton-Okounkov 凸体と結晶基底,
  Algebraic Lie Theory and Representation Theory 2015 報告集, 59–70 (2015).