Couples de Jacobiennes isogenes de courbes hyperelliptiques de genre arbitraire

2009/02/19 by Mestre, Jean-Francois
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0902.3470

Abstract

For any genus g greater than 1, we construct a family of dimension g+1 of pairs of hyperelliptic curves of genus g whose jacobian are 2^g isogeneous. ----- Pour tout genre g superieur ou egal a 2, nous construisons une famille a g+1 parametres de courbes de genre g telles qu'il existe une 2^g-isogenie entre leurs jacobiennes.

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