Naoki Fujita

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

Papers:

• N. Fujita and Y. Nishiyama,
  Combinatorics of semi-toric degenerations of Schubert varieties in type C,
  Math. Z. 307 (2024), article number 69.
• 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.

Proceedings (refereed):

• Y. Cho, N. Fujita, A. Higashitani, and E. Lee,
  Newton-Okounkov polytopes of type A flag varieties of small ranks arising from cluster structures,
  to appear in Proc. Steklov Inst. Math. (Proceedings of the conference in honor of Victor Buchstaber's 80th birthday), arXiv:2310.06477v1.

Collections of papers (refereed):

• 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:

• 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.