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On The Hecke Orbit Conjecture for PEL Type Shimura Varieties

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 نشر من قبل Luciena Xiao Xiao
 تاريخ النشر 2020
  مجال البحث
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 تأليف Luciena Xiao Xiao




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The Hecke orbit conjecture asserts that every prime-to-$p$ Hecke orbit in a Shimura variety is dense in the central leaf containing it. In this paper, we prove the conjecture for certain irreducible components of Newton strata in Shimura varieties of PEL type A and C, when $p$ is an unramified prime of good reduction. Our approach generalizes Chai and Oorts method for Siegel modular varieties.



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