Irreducibility and p-adic monodromies on the Siegel moduli spaces

• Autores: Chia-Fu Yu
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 218, Nº 4, 2008, págs. 1253-1285
• Idioma: inglés
• DOI: 10.1016/j.aim.2008.03.008
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• Resumen

  • 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