Random maximal isotropic subspaces and Selmer groups

Under suitable hypotheses, we construct a probability measure on the set of closed maximal isotropic subspaces of a locally compact quadratic space over F[subscript p]. A random subspace chosen with respect to this measure is discrete with probability 1, and the dimension of its intersection with a...

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Bibliographic Details
Main Authors: Poonen, Bjorn, Rains, Eric
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: American Mathematical Society 2012
Online Access:http://hdl.handle.net/1721.1/71657
https://orcid.org/0000-0002-8593-2792