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Irreducibility and p-adic monodromies on the Siegel moduli spaces |
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| Authors: | Chia-Fu Yu |
| Affiliation: | a Institute of Mathematics, Academia Sinica, 128 Academia road Sec. 2, Nankang, Taipei, Taiwan b NCTS (Taipei Office), Taiwan c Max-Planck-Institut für Mathematik, Vivatsgasse 7, Bonn, 53111, Germany |
| Abstract: | We generalize the surjectivity result of the p-adic monodromy for the ordinary locus of a Siegel moduli space by Faltings and Chai (independently by Ekedahl) to that for any p-rank stratum. We discuss irreducibility and connectedness of some p-rank strata of the moduli spaces with parahoric level structure. Finer results are obtained on the Siegel 3-fold with Iwahori level structure. |
| Keywords: | Siegel moduli spaces p-adic monodromy Parahoric level structure |
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