Integral Cohomology of the Siegel Modular Variety of Degree Two and Level Three
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>...
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| Format: | Others |
| Language: | en |
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LSU
2006
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| Online Access: | http://etd.lsu.edu/docs/available/etd-03142006-134928/ |
| Summary: | 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. |
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