[1] |
The a-number stratification on the moduli space of supersingular abelian varieties.
Journal of Pure and Applied Algebra 193 (2004), 163-191. (Online). |
[2] |
Ekedahl-Oort strata and the first Newton slope strata.
Journal of Algebraic Geometry 16 (2007), 171-199. (Online). (Preprint version: 15 Jan. 2007). |
[3] |
Successive extensions of minimal p-divisible groups.
Journal of Pure and Applied Algebra 213 (2009), 1823-1834. (Online). (Preprint version: 15 Jan. 2009). |
[4] |
Configuration of the central streams in the moduli of abelian varieties.
The Asian Journal of Mathematics 13 (2009), no. 2, 215-250. (Online). (Preprint version: 3 Dec. 2008). |
[5] |
Ekedahl-Oort strata contained in the supersingular locus and Deligne-Lusztig varieties.
Journal of Algebraic Geometry 19 (2010), 419-438. (Online). (Preprint version: 29 Jul. 2009). |
[6] |
Generic Newton polygons of Ekedahl-Oort strata: Oort's conjecture.
Annales de l'Institut Fourier 60, no 5 (2010), 1787-1830. (Online). (Preprint version: 2 Jul. 2010). |
[7] |
The rings of Witt vectors for noncommutative rings with some rich structure.
Communications in Algebra 38, no. 4 (2010), 1282-1290. (Online). |
[8] |
The supremum of Newton polygons of p-divisible groups with a given p-kernel type.
Geometry and Analysis of Automorphic Forms of Several Variables, Proceedings of the international symposium in honor of Takayuki Oda on the occasion of his 60th birthday, Series on Number Theory and Its Applications, Vol. 7, (2011), pp. 41-55. (Online). (Preprint versions: 25 Jun. 2009, 6 Apr. 2011). |
[9] |
On the affineness of distinguished Deligne-Lusztig varieties.
Journal of Algebra 390 (2013), 290-297. (Online). (Preprint version: 17 Apr. 2013). |
[10] |
Superspecial curves of genus 4 in small characteristic (with Momonari Kudo).
Finite Fields and Their Applications 45 (2017), 131-169. (Online). (Preprint version: arXiv:1607.01114). |
[11] |
Enumerating superspecial curves of genus 4 over prime fields (with Momonari Kudo).
In: Proceedings of The Tenth International Workshop on Coding and Cryptography 2017, WCC 2017, available at WCC2017 Proceedings. |
[12] |
On p-divisible groups with saturated Newton polygons.
Nagoya Mathematical Journal 232 (2018), 96-120. (Online). (Preprint versions: 27 Apr. 2015, 4 Jan. 2017). |
[13] |
On specializations of minimal p-divisible groups (with Nobuhiro Higuchi).
Yokohama Mathematical Journal 64 (2018), 1-20. (Online). (Preprint version: arXiv: 1705.10042). |
[14] |
Superspecial hyperelliptic curves of genus 4 over small finite fields (with Momonari Kudo).
In: Budaghyan L., Rodriguez-Henriquez F. (eds), Arithmetic of Finite Fields, WAIFI 2018, Lecture Notes in Computer Science, Vol. 11321, pp. 58-73, Springer, Cham, 2018. (Online). |
[15] |
Computational approach to enumerate non-hyperelliptic superspecial curves of genus 4 (with Momonari Kudo).
Tokyo Journal of Mathematics Volume 43, Number 1 (2020), 259-278. (Online). |
[16] |
Automorphism groups of superspecial curves of genus 4 over F_{11} (with Momonari Kudo and Hayato Senda).
Journal of Pure and Applied Algebra 224, Issue 9, (2020) 106339 (Online). (Preprint version:arXiv: 1709.03627). |
[17] |
Superspecial trigonal curves of genus 5 (with Momonari Kudo).
Experimental Mathematics, Published online: 16 Apr. 2020. (Online). (Preprint version: arXiv: 1804.11277). |
[18] |
Asymptotic formula of the number of Newton polygons.
Mathematische Zeitschrift 297, 113-132 (2021). (Online). (Preprint version: arXiv: 1707.04801). |
[19] |
Algorithms to enumerate superspecial Howe curves of genus 4 (with Momonari Kudo and Everett Howe).
Proceedings of Fourteenth Algorithmic Number Theory Symposium (ANTS-XIV), MSP, 2020. Open Book Series Vol. 4 (2020), No. 1, 301-316 (Online). (Preprint version: arXiv:2006.11499; older preprint: arXiv: 2003.04153). |
[20] |
The existence of supersingular curves of genus 4 in arbitrary characteristic (with Momonari Kudo and Hayato Senda).
Research in Number Theory 6, Article number: 44 (2020). (Open Access!). (Preprint version: arXiv: 1903.08095). |
[21] |
Parametrizing generic curves of genus five and its application to finding curves with many rational points (with Momonari Kudo).
Accepted for presentation at MEGA 2021: Effective Methods in Algebraic Geometry, 2021. (On the website of MEGA2021). arXiv:2102.07270. |
[22] |
Supersingular abelian varieties and curves, and their moduli spaces, with a remark on the dimension of the moduli of supersingular curves of genus 4.
Kôkyûroku Bessatsu B90 (Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties), pp. 1-16. (Online) |
[23] |
Fast enumeration of superspecial hyperelliptic curves of genus 4 with automorphism group V4 (with Ryo Ohashi and Momonari Kudo).
In: Mesnager, S., Zhou, Z. (eds) Arithmetic of Finite Fields. WAIFI 2022. Lecture Notes in Computer Science, vol. 13638. pp.107-124, Springer, Cham. (Online) |
[24] |
Algorithmic study of superspecial hyperelliptic curves over finite fields (with Momonari Kudo).
Commentarii Mathematici Univ. St. Pauli. Vol. 70, 49-64. (Online) (Preprint version: arXiv:1907.00894). |
[25] |
Differential forms on the curves associated to Appell-Lauricella hypergeometric series and the Cartier operator on them (with Ryo Ohashi).
Yokohama Mathematical Journal 69 (2023), 1-32. (Preprint version: arXiv:2105.11436). |
[26] |
Representation of non-special curves of genus 5 as plane sextic curves
and its application to finding curves with many rational points (with Momonari Kudo).
Journal of Symbolic Computation, Volume 122, May-June 2024, 102272 (Online) (preprint version: arXiv: 2102.07270) |
[27] |
Computational search for superelliptic curves attaining the gonality-point bound, with extra genus-5 examples (with Momonari Kudo).
To appear in Mathematici Universitatis Sancti Pauli, 24 pages, (Preprint version: arXiv: 2204.06805). |
[28] |
The a-numbers of non-hyperelliptic curves of genus 3 with cyclic automorphism group of order 6 (with Ryo Ohashi and Momonari Kudo).
To appear in Acta Arithmetica, (Preprint version: arXiv: 2111.09777v3). |