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http://hdl.handle.net/2445/142925
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DC Field | Value | Language |
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dc.contributor.author | Guitart Morales, Xavier | - |
dc.contributor.author | Masdeu, Marc | - |
dc.date.accessioned | 2019-10-23T15:23:08Z | - |
dc.date.available | 2019-10-23T15:23:08Z | - |
dc.date.issued | 2017-03-01 | - |
dc.identifier.issn | 1058-6458 | - |
dc.identifier.uri | http://hdl.handle.net/2445/142925 | - |
dc.description.abstract | Let F be a number field and an integral ideal. Let f be a modular newform over F of level with rational Fourier coefficients. Under certain additional conditions, Guitart and colleagues [Guitart et al. 16[Guitart et al. 16] X. Guitart, M. Masdeu, and M. Haluk Şengün. "Uniformization of Modular Elliptic Curves via p-adic Periods." J. Algebra 445 (2016), 458-502. MR 3418066 [Crossref], [Web of Science ®] , [Google Scholar] ] constructed a p-adic lattice which is conjectured to be the Tate lattice of an elliptic curve Ef whose L-function equals that of f. The aim of this note is to generalize this construction when the Hecke eigenvalues of f generate a number field of degree d ⩾ 1, in which case the geometric object associated with f is expected to be, in general, an abelian variety Af of dimension d. We also provide numerical evidence supporting the conjectural construction in the case of abelian surfaces. | - |
dc.format.extent | 18 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Taylor and Francis | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1080/10586458.2017.1284624 | - |
dc.relation.ispartof | Experimental Mathematics, 2017, vol. 27, num. 3, p. 344-361 | - |
dc.relation.uri | https://doi.org/10.1080/10586458.2017.1284624 | - |
dc.rights | (c) Taylor and Francis, 2017 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Corbes el·líptiques | - |
dc.subject.classification | Corbes sobre superfícies | - |
dc.subject.other | Elliptic curves | - |
dc.subject.other | Curves on surfaces | - |
dc.title | Periods of Modular GL2-type Abelian Varieties and p-adic Integration | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 666650 | - |
dc.date.updated | 2019-10-23T15:23:08Z | - |
dc.relation.projectID | info:eu-repo/grantAgreement/EC/H2020/682152/EU//BSD | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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666650.pdf | 393.5 kB | Adobe PDF | View/Open |
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