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...
Main Authors: | Bhargava, Manjul, Kane, Daniel M., Lenstra, Hendrik W., Poonen, Bjorn, Rains, Eric |
---|---|
Other Authors: | Massachusetts Institute of Technology. Department of Mathematics |
Format: | Article |
Language: | en_US |
Published: |
International Press of Boston
2017
|
Online Access: | http://hdl.handle.net/1721.1/106360 https://orcid.org/0000-0002-8593-2792 |
Similar Items
-
Random maximal isotropic subspaces and Selmer groups
by: Poonen, Bjorn, et al.
Published: (2012) -
On the Selmer groups of elliptic curves in quadratic twist families
by: Wong, Siman Yat-Fai
Published: (2007) -
Selmer groups as flat cohomology groups
by: Česnavičius, Kęstutis
Published: (2014) -
A heuristic for boundedness of ranks of elliptic curves
by: Park, Jennifer, et al.
Published: (2020) -
Lattices in Tate modules
by: Poonen, Bjorn, et al.
Published: (2022)