We propose a conjectural explicit isogeny from the Jacobians of hyperelliptic Drinfeld modular curves to the Jacobians of hyperelliptic modular curves of 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.
|Original language||English (US)|
|Number of pages||27|
|Journal||Journal of Number Theory|
|State||Published - Jul 2011|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory