In this paper we present a formula for the number of isomorphism classes of p-rank zero
Ètale double covers of genus 2 curves over an algebraically closed field of characteristic p> …

The existence of supersingular curves of genus 4 in arbitrary characteristic | Research in
Number Theory Skip to main content SpringerLink Account Menu Find a journal Publish with us …

A Richelot isogeny between Jacobian varieties is an isogeny whose kernel is included in the
$2 $-torsion subgroup of the domain. In particular, a Richelot isogeny whose codomain is …

In this paper, we show that there exist families of curves (defined over an algebraically
closed field k of characteristic p> 2) whose Jacobians have interesting p-torsion. For …

A Howe curve is a curve of genus 4 obtained as the fiber product of two genus-1 double
covers of P 1. We present a simple algorithm for testing isomorphism of Howe curves, and …

where g= g (C) is the genus of the curve C. When q is a square, for a fixed q and variable g,
very interesting phenomena occur and the upper bound and asymptotic behaviour for g••‡ …

A superspecial curve in characteristic p is a curve whose Jacobian is a product of
supersingular elliptic curves. Using Igusa's result that $ h\sb {p}(\lambda) $ has only simple …

We prove that there are no hyperelliptic supersingular curves of genus 2 n− 1 in
characteristic 2 for any integer n≥ 2. Let F be an algebraically closed field of characteristic …

In algebraic geometry, superspecial curves are important research objects. While the
number of superspecial genus-3 curves in characteristic $ p $ is known, the number of …

There are many equivalent ways to describe the p-torsion of a principally polarized abelian
variety in characteristic p. We briefly explain these methods and then illustrate them for …