4 papers
On Hilbert-Poincaré series of affine semi-regular polynomial sequences and related Gröbner bases
Momonari Kudo, Kazuhiro Yokoyama
Gröbner bases are nowadays central tools for solving various problems in commutative algebra and algebraic geometry. A typical use of Gröbner bases is the multivariate polynomial s…
Explicit construction of a plane sextic model for genus-five Howe curves, II
Momonari Kudo
A Howe curve is defined as the normalization of the fiber product over a projective line of two hyperelliptic curves. Howe curves are very useful to produce important classes of cu…
Computing superspecial hyperelliptic curves of genus 4 with automorphism group properly containing the Klein 4-group
Ryo Ohashi, Momonari Kudo
In algebraic geometry, enumerating or finding superspecial curves in positive characteristic is important both in theory and in computation. In this paper, we propose feasible…
Explicit construction of a plane sextic model for genus-five Howe curves, I
Tomoki Moriya, Momonari Kudo
In the past several years, Howe curves have been studied actively in the field of algebraic curves over fields of positive characteristic. Here, a Howe curve is defined as the desi…