Periods and Gauss-Manin connection for the Mumford curve $y_2^{r_2} y_1 ^{r_1} - y_2 ^{r_2} - y_1 ^{r_1} + \lambda = 0$

We describe the rigid geometry of the first layer in the tower of coverings of the $p$ -adic upper half plane constructed by Drinfeld. Using our results, we describe the stable fiber at p of certain Shimura curves.

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Displaying similar documents to “Periods and Gauss-Manin connection for the Mumford curve y 2 r 2 y 1 r 1 - y 2 r 2 - y 1 r 1 + λ = 0 ”

Displaying similar documents to “Periods and Gauss-Manin connection for the Mumford curve $y_{2}^{r_{2}} y_{1}^{r_{1}} - y_{2}^{r_{2}} - y_{1}^{r_{1}} + λ = 0$ ”