332 citations
- Max Planck Institute for Gravitational PhysicsDE8 papers
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math.NT2007
Zeta function and cryptographic exponent of supersingular curves of genus 2
Gabriel Cardona, Enric Nart
We compute in a direct (not algorithmic) way the zeta function of all supersingular curves of genus 2 over a finite field k, with many geometric automorphisms. We display these com…
math.NT2002★ 1 cited
Curves of genus two over fields of even characteristic
Gabriel Cardona, Enric Nart, Jordi Pujolas
In this paper we classify curves of genus two over a perfect field k of characteristic two. We find rational models of curves with a given arithmetic structure for the ramification…