Abstract/Details

p-adic monodromy of the ordinary locus of Picard moduli scheme


2005 2005

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Abstract (summary)

Let E be an imaginary quadratic number field, p a rational prime splitting in [special characters omitted] and let m, n be distinct natural numbers. The naive p-adic monodromy of the ordinary locus of the good reduction of a Shimura variety of U(m, n) type over [special characters omitted] is a subgroup of GLm([special characters omitted]) × GLn([special characters omitted]). In this paper, we prove that for any point in the basic locus of the moduli space, the local monodromy is an open subgroup of GL m([special characters omitted]) × GLn([special characters omitted]). From this local information, the global p-adic monodromy is shown to be as big as possible, i.e. GLm([special characters omitted]) × GLn([special characters omitted]).

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences, Monodromy, Ordinary locus, Picard moduli scheme, Shimura varieties, p-adic
Title
p-adic monodromy of the ordinary locus of Picard moduli scheme
Author
Lee, Dong Uk
Number of pages
53
Publication year
2005
Degree date
2005
School code
0175
Source
DAI-B 66/02, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
9780542016899, 0542016893
Advisor
Chai, Ching-Li
University/institution
University of Pennsylvania
University location
United States -- Pennsylvania
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
3165802
ProQuest document ID
305406638
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/305406638
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