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Last updated: July 6, 2024
Naoki Fujita
Faculty of Advanced Science and Technology, Kumamoto University
email: fnaoki ``at'' kumamotou.ac.jp
Papers:

N. Fujita and Y. Nishiyama,
Combinatorics of semitoric 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,
NewtonOkounkov polytopes of flag varieties and marked chainorder 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,
NewtonOkounkov 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 BottSamelson 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 convexgeometric Demazure operators,
Selecta Math. (N.S.) 25 (2019), Paper No. 74, 35 pages.

N. Fujita,
NewtonOkounkov bodies for BottSamelson varieties and string polytopes for generalized Demazure modules,
J. Algebra 515 (2018), 408–447.

N. Fujita,
Folding procedure for NewtonOkounkov polytopes of Schubert varieties,
Comm. Algebra 46 (2018), 2666–2692.

N. Fujita and H. Oya,
A comparison of NewtonOkounkov polytopes of Schubert varieties,
J. Lond. Math. Soc. (2) 96 (2017), 201–227.

N. Fujita and S. Naito,
NewtonOkounkov 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,
NewtonOkounkov 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. DontenBury, N. Fujita, and G. Merz,
Khovanskii bases of CoxNagata 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,
Semitoric degenerations of Richardson varieties arising from cluster structures on flag varieties,
preprint 2021, arXiv:2110.12731v1.

N. Fujita and H. Oya,
NewtonOkounkov polytopes of Schubert varieties arising from cluster structures,
preprint 2020, arXiv:2002.09912v2.