Title page for ETD etd-03142006-134928


Type of Document Dissertation
Author Arslan, Mustafa
URN etd-03142006-134928
Title Integral Cohomology of the Siegel Modular Variety of Degree Two and Level Three
Degree Doctor of Philosophy (Ph.D.)
Department Mathematics
Advisory Committee
Advisor Name Title
Jerome W. Hoffman Committee Chair
Frank Neubrander Committee Member
Paul B. van Wamelen Committee Member
Richard A. Litherland Committee Member
Robert F. Lax Committee Member
Carlos Slawson Dean's Representative
Keywords
  • symplectic group
  • siegel modular variety
Date of Defense 2005-11-01
Availability unrestricted
Abstract
In this thesis work Deligne's spectral sequence Ep,qr with integer coefficients for the embedding of the Siegel modular variety of degree two and level three, A2(3) into its Igusa compactification, A2(3)*, is investigated. It is shown that E3 = E and this information is applied to compute the cohomology groups of A2(3) over the integers.
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