https://scholars.lib.ntu.edu.tw/handle/123456789/624829
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.author | Castella F | en_US |
dc.contributor.author | Hsieh M.-L. | en_US |
dc.contributor.author | MING-LUN HSIEH | en_US |
dc.creator | Castella F;Hsieh M.-L. | - |
dc.date.accessioned | 2022-11-11T03:00:03Z | - |
dc.date.available | 2022-11-11T03:00:03Z | - |
dc.date.issued | 2022 | - |
dc.identifier.issn | 20505094 | - |
dc.identifier.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85125092194&doi=10.1017%2ffms.2021.85&partnerID=40&md5=5a6c97ac4beb687b91d765526b2c703c | - |
dc.identifier.uri | https://scholars.lib.ntu.edu.tw/handle/123456789/624829 | - |
dc.description.abstract | Let E/Q be an elliptic curve and p > 3 be a good ordinary prime for E and assume that L(E, 1)=0 with root number+1 (so ords=1 L(E, s) ≥ 2)). A construction of Darmon-Rotger attaches to E and an auxiliary weight 1 cuspidal eigenform g such that L(E, ad(g), 1) ≠ =0, a Selmer class κp ∈ Sel(Q,VpE), and they conjectured the equivalence {equation presented} In this article, we prove the first cases on Darmon-Rotger's conjecture when the auxiliary eigenform g has complex multiplication. In particular, this provides a new construction of nontrivial Selmer classes for elliptic curves of rank 2. © | - |
dc.relation.ispartof | Forum of Mathematics, Sigma | - |
dc.title | On the nonvanishing of generalised Kato classes for elliptic curves of rank 2 | en_US |
dc.type | journal article | en |
dc.identifier.doi | 10.1017/fms.2021.85 | - |
dc.identifier.scopus | 2-s2.0-85125092194 | - |
dc.relation.journalvolume | 10 | - |
item.cerifentitytype | Publications | - |
item.fulltext | no fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_6501 | - |
item.openairetype | journal article | - |
item.grantfulltext | none | - |
crisitem.author.dept | Mathematics | - |
crisitem.author.orcid | 0000-0002-7329-5167 | - |
crisitem.author.parentorg | College of Science | - |
顯示於: | 數學系 |
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