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Last updated: Sep. 18, 2022

Naoki Fujita

Faculty of Advanced Science and Technology, Kumamoto University
e-mail: fnaoki ``at'' kumamoto-u.ac.jp

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Papers:

  • H. Abe, N. Fujita, and H. Zeng,
    Fano and weak Fano Hessenberg varieties,
    to appear in Michigan Math. J. (arXiv:2003.12286v1).
  • 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.

Collections of papers:

  • 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.

Preprints:

  • N. Fujita,
    Semi-toric degenerations of Richardson varieties arising from cluster structures on flag varieties,
    preprint 2021, arXiv:2110.12731v1.
  • N. Fujita,
    Newton-Okounkov polytopes of flag varieties and marked chain-order polytopes,
    preprint 2021, arXiv:2104.09929v1.
  • N. Fujita and H. Oya,
    Newton-Okounkov polytopes of Schubert varieties arising from cluster structures,
    preprint 2020, arXiv:2002.09912v1.