Mathematics – Number Theory
Scientific paper
2011-03-30
Mathematics
Number Theory
29 pages
Scientific paper
We propose a conjectural explicit isogeny from the Jacobians of hyperelliptic
Drinfeld modular curves to the Jacobians of hyperelliptic modular curves of
$\mathcal{D}$-elliptic sheaves. The kernel of the isogeny is a subgroup of the
cuspidal divisor group constructed by examining the canonical maps from the
cuspidal divisor group into the component groups.
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