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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Bibliographic Details
Main Author: Wang, Xiaoheng
Other Authors: Gross, Benedict H.
Language:en_US
Published: Harvard University 2013
Subjects:
Online Access:http://dissertations.umi.com/gsas.harvard:10761
http://nrs.harvard.edu/urn-3:HUL.InstRepos:11156784