1 citations · 1 across the 4 of their papers we have counts for
7 papers
The multiplicity-one theorem for the superspeciality of curves of genus two
Shushi Harashita, Yuya Yamamoto
Igusa proved in 1958 that the polynomial determining the supersingularity of elliptic curve in Legendre form is separable. In this paper, we get an analogous result for curves of g…
Superspecial genus- double covers of elliptic curves
Takumi Ogasawara, Ryo Ohashi, Kosuke Sakata +1
In this paper we study genus- curves obtained as double covers of elliptic curves. Firstly we shall give explicit defining equations of such curves with explicit criterion for w…
The cycle class of the supersingular locus of principally polarized abelian varieties
Gerard van der Geer, Shushi Harashita
We prove a formula for the cycle class of the supersingular locus in the Chow ring with rational coefficients of the moduli space of principally polarized abelian varieties in char…
Genus-five hyperelliptic or trigonal curves with many rational points in characteristic three
Momonari Kudo, Shushi Harashita
The number , the maximal number of -rational points on curves over of genus is unknown, but it is known that . In this…
Computing the space of differential forms of a plane curve and its Cartier-Manin matrix
Momonari Kudo, Shushi Harashita
In this paper, we propose a feasible algorithm to give an explicit basis of the space of regular differential forms on the nonsingular projective model of any given plane algebraic…
Algorithms to enumerate superspecial Howe curves of genus 4
Momonari Kudo, Shushi Harashita, Everett W. Howe
A Howe curve is a curve of genus obtained as the fiber product of two genus- double covers of . In this paper, we present a simple algorithm for testing isomor…