Výsledky vyhledávání - "Shushi Harashita"

Algorithms to enumerate superspecial Howe curves of genus 4

Autor: Momonari Kudo, Everett W. Howe, Shushi Harashita

Publikováno v: Open Book Series. 4:301-316

A Howe curve is a curve of genus $4$ obtained as the fiber product over $\mathbf{P}^1$ of two elliptic curves. Any Howe curve is canonical. This paper provides an efficient algorithm to find superspecial Howe curves and that to enumerate their isomor

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af436298321623f3887651093e638058
https://doi.org/10.2140/obs.2020.4.301

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Superspecial Trigonal Curves of Genus 5

Autor: Shushi Harashita, Momonari Kudo

Publikováno v: Experimental Mathematics. 31:908-919

This paper provides an algorithm enumerating superspecial trigonal curves of genus $5$ over finite fields. Executing the algorithm over a computer algebra system Magma, we enumerate them over finite fields $\mathbb{F}_{p^a}$ for any natural number $a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::694927dbec5c40790c9bd6970314871d
https://doi.org/10.1080/10586458.2020.1723745

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The existence of supersingular curves of genus 4 in arbitrary characteristic

Autor: Shushi Harashita, Momonari Kudo, Hayato Senda

Publikováno v: Research in Number Theory. 6

We prove that there exists a supersingular nonsingular curve of genus 4 in arbitrary characteristic $$p>0$$ p > 0 . For $$p>3$$ p > 3 we shall prove that the desingularization of a certain fiber product over $$\mathbf{P }^1$$ P 1 of two supersingular

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d45e9d3fd334f8dddd9d23c910741733
https://doi.org/10.1007/s40993-020-00217-x

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Computational Approach to Enumerate Non-hyperelliptic Superspecial Curves of Genus 4

Autor: Momonari Kudo, Shushi Harashita

Publikováno v: Tokyo J. Math. 43, no. 1 (2020), 259-278

In this paper, an algorithm to enumerate non-hyperelliptic superspecial curves of genus $4$ over finite fields of characteristic $p \geq 5$ is constructed. As an application, the algorithm is used to enumerate non-hyperelliptic superspecial curves of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98ede44f8f13df9c53d06a8f9837141c
https://projecteuclid.org/euclid.tjm/1592445612

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ON -DIVISIBLE GROUPS WITH SATURATED NEWTON POLYGONS

Autor: Shushi Harashita

Publikováno v: Nagoya Mathematical Journal. 232:96-120

This paper concerns the classification of isogeny classes of$p$-divisible groups with saturated Newton polygons. Let$S$be a normal Noetherian scheme in positive characteristic$p$with a prime Weil divisor$D$. Let${\mathcal{X}}$be a$p$-divisible group

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::67a805bec76805835d7bf4f58f3cae22
https://doi.org/10.1017/nmj.2017.22

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Automorphism groups of superspecial curves of genus 4 overF11

Autor: Momonari Kudo, Shushi Harashita, Hayato Senda

Publikováno v: Journal of Pure and Applied Algebra. 224:106339

In this paper, we explicitly determine the automorphism group of every nonhyperelliptic superspecial curve of genus 4 over F 11 . Our algorithm determining automorphism groups works for any nonhyperelliptic curve of genus 4 over finite fields. With t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a9ef5513b6aceb97db34e43ec3e72463
https://doi.org/10.1016/j.jpaa.2020.106339

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Superspecial Hyperelliptic Curves of Genus 4 over Small Finite Fields

Autor: Momonari Kudo, Shushi Harashita

Publikováno v: Arithmetic of Finite Fields ISBN: 9783030051525
WAIFI

In this paper, we enumerate superspecial hyperelliptic curves of genus 4 over finite fields $\mathbb {F}_q$ for small q. This complements our preceding results in the non-hyperelliptic case. We give a feasible algorithm to enumerate superspecial hy

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ec383b30c90e51cd41e029736c5e46ef
https://doi.org/10.1007/978-3-030-05153-2_3

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