The Growth of CM Periods over False Tate Extensions
Delbourgo, Daniel ; Ward, Thomas
Experiment. Math., Tome 19 (2010) no. 1, p. 195-210 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We prove weak forms of Kato's ${\rm K}_1$-congruences for elliptic curves with complex multiplication, subject to two technical hypotheses. We next use "Magma" to calculate the $\mu$-invariant measuring the discrepancy between the "motivic'' and "automorphic'' {$p$-adic} $L$-functions. Via the two-variable main conjecture, one can then estimate growth in this $\mu$-invariant using arithmetic of the $\Z_p^2$-extension.
Publié le : 2010-05-15
Classification:  Iwasawa theory,  complex multiplication,  elliptic cures,  K-theory,  $L$-functions,  11R23,  11G40,  19B28 
@article{1276784790,
     author = {Delbourgo, Daniel and Ward, Thomas},
     title = {The Growth of CM Periods over False Tate Extensions},
     journal = {Experiment. Math.},
     volume = {19},
     number = {1},
     year = {2010},
     pages = { 195-210},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1276784790}
}

Delbourgo, Daniel; Ward, Thomas. The Growth of CM Periods over False Tate Extensions. Experiment. Math., Tome 19 (2010) no. 1, pp.  195-210. http://gdmltest.u-ga.fr/item/1276784790/