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Iwasawa <f>μ</f>-invariants of elliptic curves and their symmetric powers
- Source :
-
Journal of Number Theory . Oct2003, Vol. 102 Issue 2, p191. 23p. - Publication Year :
- 2003
-
Abstract
- In an earlier paper we considered the effects that finite submodules can have on <f>μ</f>-invariants of Selmer groups. In this paper we examine some of the consequences of that theory to elliptic curves and their symmetric powers. One main result is the construction of an isogeny class of elliptic curves, all of which have positive <f>μ</f>-invariants. A second result is a connection between the behaviors of <f>μ</f>-invariants associated with the symmetric powers of an elliptic curve over <f>Q</f>, and the behavior of the <f>μ</f>-invariant of that elliptic curve over different extensions of <f>Q</f>. [Copyright &y& Elsevier]
- Subjects :
- *ELLIPTIC curves
*INVARIANTS (Mathematics)
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 102
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 10502787
- Full Text :
- https://doi.org/10.1016/S0022-314X(03)00105-7