Momonari Kudo

activity

20162026

4

in small characteristic

26 citations · 77 across the 28 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.AG2018★ 1 cited

A note on certain superspecial and maximal curves of genus $5$

Momonari Kudo

In this note, we characterize certain maximal superspecial curves of genus $5$ over finite fields. Specifically, we prove that the desingularization $T_{p}$ of $x y z^3 + x^5 + y^5 =…

math.AG2018★ 2 cited

Superspecial trigonal curves of genus $5$

Momonari Kudo, Shushi Harashita

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 enumerat…

math.AG2018★ 1 cited

On the existence of superspecial nonhyperelliptic curves of genus $4$

Momonari Kudo

A curve over a perfect field $K$ of characteristic $p > 0$ is said to be superspecial if its Jacobian is isomorphic to a product of supersingular elliptic curves over the algebraic…

A note on certain superspecial and maximal curves of genus 5

Superspecial trigonal curves of genus 5

On the existence of superspecial nonhyperelliptic curves of genus 4

A note on certain superspecial and maximal curves of genus $5$

Superspecial trigonal curves of genus $5$

On the existence of superspecial nonhyperelliptic curves of genus $4$