Pencils of quadrics and Jacobians of hyperelliptic curves
Using pencils of quadrics, we study a construction of torsors of Jacobians of hyperelliptic curves twice of which is Pic^1. We then use this construction to study the arithmetic invariant theory of the actions of SO2n+1 and PSO2n+2 on self-adjoint operators and show how they facilitate in computing...
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| Language: | en_US |
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Harvard University
2013
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| Online Access: | http://dissertations.umi.com/gsas.harvard:10761 http://nrs.harvard.edu/urn-3:HUL.InstRepos:11156784 |