dc.contributor.author |
Longo, Matteo |
dc.contributor.author |
Rotger, Víctor |
dc.contributor.author |
de Vera-Piquero, Carlos |
dc.date |
2018 |
dc.identifier |
https://ddd.uab.cat/record/191237 |
dc.identifier |
urn:10.5565/PUBLMAT6221803 |
dc.identifier |
urn:oai:ddd.uab.cat:191237 |
dc.identifier |
urn:oai:raco.cat:article/338217 |
dc.identifier |
urn:articleid:20144350v62n2p355 |
dc.identifier |
urn:scopus_id:85049030880 |
dc.identifier |
urn:wos_id:000435637100003 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
; |
dc.relation |
Publicacions matemàtiques ; Vol. 62 Núm. 2 (2018), p. 355-396 |
dc.rights |
open access |
dc.rights |
Tots els drets reservats. |
dc.rights |
https://rightsstatements.org/vocab/InC/1.0/ |
dc.subject |
BSD conjecture |
dc.subject |
Heegner points |
dc.subject |
L-functions |
dc.subject |
Shimura curves |
dc.title |
Heegner points on Hijikata- Pizer- Shemanske curves and the Birch and Swinnerton-Dyer conjecture |
dc.type |
Article |
dc.description.abstract |
We study Heegner points on elliptic curves, or more generally modular abelian varieties, coming from uniformization by Shimura curves attached to a rathergeneral type of quaternionic orders. We address several questions arising from the Birch and Swinnerton-Dyer (BSD) conjecture in this general context. In particular, under mild technical conditions, we show the existence of non-torsion Heegner points on elliptic curves in all situations in which the BSD conjecture predicts their existence. |