2 problems

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Self-reciprocity conjecture for the partial Hasse polynomials of the double cover of $W_{17}$
Let $\Pi_{17}$ be the double cover of the Teichmüller curve $W_{17}\hookrightarrow\mathbb{H}^2/\mathrm{SL}(\mathcal{O}_{17}\oplus\mathcal{O}^{\vee}_{17})$ . For $j\in\{1,2\}$ and ev…
openabelian-varieties hasse-invariants hilbert-modular-varieties
07
Ogus' principle for Hodge-type Shimura varieties
Ogus' principle. Assume that the conjugacy class of $\mu$ is defined over $\mathbf{F}_p$ . For every $x\in S_K(k)$ ,
openhasse-invariants hodge-theory shimura-varieties
06

Self-reciprocity conjecture for the partial Hasse polynomials of the double cover of W17W_{17}W17​