000149794 001__ 149794
000149794 005__ 20251017144638.0
000149794 0247_ $$2doi$$a10.5565/PUBLMAT6221803
000149794 0248_ $$2sideral$$a142202
000149794 037__ $$aART-2018-142202
000149794 041__ $$aeng
000149794 100__ $$aLongo, Matteo
000149794 245__ $$aHeegner points on Hijikata-Pizer-Shemanske curves and the Birch and Swinnerton-Dyer conjecture
000149794 260__ $$c2018
000149794 5060_ $$aAccess copy available to the general public$$fUnrestricted
000149794 5203_ $$aWe study Heegner points on elliptic curves, or more generally modular abelian varieties, coming from uniformization by Shimura curves attached to a rather general 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.
000149794 540__ $$9info:eu-repo/semantics/closedAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000149794 590__ $$a1.41$$b2018
000149794 591__ $$aMATHEMATICS$$b44 / 313 = 0.141$$c2018$$dQ1$$eT1
000149794 592__ $$a0.875$$b2018
000149794 593__ $$aMathematics (miscellaneous)$$c2018$$dQ1
000149794 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000149794 700__ $$aRotger, Víctor
000149794 700__ $$0(orcid)0000-0003-3673-3620$$ade Vera-Piquero, Carlos
000149794 773__ $$g62 (2018), 355-396$$pPubl. mat.$$tPublicacions Matematiques$$x0214-1493
000149794 8564_ $$s643513$$uhttps://zaguan.unizar.es/record/149794/files/texto_completo.pdf$$yVersión publicada
000149794 8564_ $$s1196637$$uhttps://zaguan.unizar.es/record/149794/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000149794 909CO $$ooai:zaguan.unizar.es:149794$$particulos$$pdriver
000149794 951__ $$a2025-10-17-14:30:21
000149794 980__ $$aARTICLE