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math.AG2000
Hyperelliptic curves in characteristic 2
Jasper Scholten, Hui June Zhu
In this paper we prove that there are no hyperelliptic supersingular curves over F_2bar of genus 2^n-1 for any integer n>1. Let g be a natural number, and h=floor(log_2(g+1)+1). Le…
math.NT2000
Geometry and arithmetic on a quintic threefold
Caterina Consani, Jasper Scholten
The paper investigates some aspects of the geometry and the arithmetic of a non-rigid Calabi-Yau threefold. Particular emphasis is given to the study of its L-function L(H^3,s) and…