3 papers
math.AG2018
Curves, Jacobians, and Cryptography
Gerhard Frey, Tony Shaska
The main purpose of this paper is to give an overview over the theory of abelian varieties, with main focus on Jacobian varieties of curves reaching from well-known results till to…
math.NT2003
On Using Expansions to the Base of -2
Roberto Avanzi, Gerhard Frey, Tanja Lange +1
This short note investigates the effects of using expansions to the base of -2. The main applications we have in mind are cryptographic protocols, where the crucial operation is co…
math.AG2003
Non-constant curves of genus 2 with infinite pro-Galois covers
Claus Diem, Gerhard Frey
For every odd prime number p, we give examples of non-constant smooth families of genus 2 curves over fields of characteristic p which have pro-Galois (pro-étale) covers of infinit…