Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves

Using maximal isotropic submodules in a quadratic module over Z[subscript p], we prove the existence of a natural discrete probability distribution on the set of isomorphism classes of short exact sequences of cofinite type Z[superscript p]-modules, and then conjecture that as E varies over elliptic...

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Bibliographic Details
Main Authors: Bhargava, Manjul (Author), Kane, Daniel M. (Author), Lenstra, Hendrik W. (Author), Poonen, Bjorn (Contributor), Rains, Eric (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: International Press of Boston, 2017-01-12T17:57:50Z.
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