Iwasawa's Main Conjecture for elliptic curves over anticyclotomic Zp-extensions

163 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

On the Birch-Swinnerton-Dyer quotients modulo squares (2006, result): “By Tian-Zhang [36], which generalises the earlier work by Bertolini-Darmon [1], the -component of X has multiplicity 1.”
Iwasawa theory of Heegner points on abelian varieties of GL2 type (2004, result): “Results similar to those of Theorem B in the case where ǫ(N) = −1 have recently been obtained by Bertolini and Darmon in [2].”
Rankin--Eisenstein classes and explicit reciprocity laws (2015, background): “2], building on earlier work of Bertolini–Darmon [5]).”
Selmer groups and the indivisibility of Heegner points (2014, methodology): “If we check the change of root number of L(g/K, s) using (1.4), we see that the Jochnowitz congruence switch from −1 to +1, while the Bertolini–Darmon congruence from +1 to −1.”
Iwasawa Main Conjecture for Supersingular Elliptic Curves (2014, result): “Urban [77] on symmetric square L-functions, the work of Bertolini-Darmon [3] for anticyclotomic main conjecture for modular forms, and the recent work of Kato [32] and Skinner-Urban [74] which proves the Iwasawa main conjecture for ordinary elliptic curves E/Q (and this list is not complete).”