Couples de Jacobiennes isogenes de courbes hyperelliptiques de genre arbitraire

Details Couples de Jacobiennes isogenes de courbes hyperelliptiques de genre arbitraire Couples de Jacobiennes isogenes de courbes hyperelliptiques de genre arbitraire

2009-02-19

arxiv.org/abs/0902.3470v1

Mathematics

Algebraic Geometry

4 pages, in French

Scientific paper

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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