Integral Cohomology of the Siegel Modular Variety of Degree Two and Level Three

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, ...

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Main Author:	Arslan, Mustafa
Other Authors:	Paul B. van Wamelen
Format:	Others
Language:	en
Published:	LSU 2006
Subjects:	Mathematics
Online Access:	http://etd.lsu.edu/docs/available/etd-03142006-134928/

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spelling	ndltd-LSU-oai-etd.lsu.edu-etd-03142006-1349282013-01-07T22:50:23Z Integral Cohomology of the Siegel Modular Variety of Degree Two and Level Three Arslan, Mustafa Mathematics In this thesis work Deligne's spectral sequence E<sup>p,q</sup><sub>r</sub> with integer coefficients for the embedding of the Siegel modular variety of degree two and level three, <i>A</i><sub>2</sub>(3) into its Igusa compactification, <i>A</i><sub>2</sub>(3)*, is investigated. It is shown that E<sub>3</sub> = E<sub>∞</sub> and this information is applied to compute the cohomology groups of <i>A</i><sub>2</sub>(3) over the integers. Paul B. van Wamelen Jerome W. Hoffman Robert F. Lax Richard A. Litherland Frank Neubrander Carlos Slawson LSU 2006-03-15 text application/pdf http://etd.lsu.edu/docs/available/etd-03142006-134928/ http://etd.lsu.edu/docs/available/etd-03142006-134928/ en unrestricted I hereby certify that, if appropriate, I have obtained and attached herein a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to LSU or its agents the non-exclusive license to archive and make accessible, under the conditions specified below and in appropriate University policies, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.
collection	NDLTD
language	en
format	Others
sources	NDLTD
topic	Mathematics
spellingShingle	Mathematics Arslan, Mustafa Integral Cohomology of the Siegel Modular Variety of Degree Two and Level Three
description	In this thesis work Deligne's spectral sequence E<sup>p,q</sup><sub>r</sub> with integer coefficients for the embedding of the Siegel modular variety of degree two and level three, <i>A</i><sub>2</sub>(3) into its Igusa compactification, <i>A</i><sub>2</sub>(3)*, is investigated. It is shown that E<sub>3</sub> = E<sub>∞</sub> and this information is applied to compute the cohomology groups of <i>A</i><sub>2</sub>(3) over the integers.
author2	Paul B. van Wamelen
author_facet	Paul B. van Wamelen Arslan, Mustafa
author	Arslan, Mustafa
author_sort	Arslan, Mustafa
title	Integral Cohomology of the Siegel Modular Variety of Degree Two and Level Three
title_short	Integral Cohomology of the Siegel Modular Variety of Degree Two and Level Three
title_full	Integral Cohomology of the Siegel Modular Variety of Degree Two and Level Three
title_fullStr	Integral Cohomology of the Siegel Modular Variety of Degree Two and Level Three
title_full_unstemmed	Integral Cohomology of the Siegel Modular Variety of Degree Two and Level Three
title_sort	integral cohomology of the siegel modular variety of degree two and level three
publisher	LSU
publishDate	2006
url	http://etd.lsu.edu/docs/available/etd-03142006-134928/
work_keys_str_mv	AT arslanmustafa integralcohomologyofthesiegelmodularvarietyofdegreetwoandlevelthree
_version_	1716476801058865152

Integral Cohomology of the Siegel Modular Variety of Degree Two and Level Three

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