FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W817106058> ?p ?o ?g. }

• W817106058 endingPage "199" @default.
• W817106058 startingPage "193" @default.
• W817106058 abstract "Let $K$ be a totally real field, and let $S$ be a finite set of non-archimedean places of $K$. It follows from the work of Merel, Momose and David that there is a constant $B_{K,S}$ so that if $E$ is an elliptic curve defined over $K$, semistable outside $S$, then for all $p>B_{K,S}$, the representation $bar{rho}_{E,p}$ is irreducible. We combine this with modularity and level lowering to show the existence of an effectively computable constant $C_{K,S}$, and an effectively computable set of elliptic curves over $K$ with CM $E_1,dotsc,E_n$ such that the following holds. If $E$ is an elliptic curve over $K$ semistable outside $S$, and $p>C_{K,S}$ is prime, then either $bar{rho}_{E,p}$ is surjective, or $bar{rho}_{E,p} sim bar{rho}_{E_i,p}$ for some $i=1,dots,n$." @default.
• W817106058 created "2016-06-24" @default.
• W817106058 creator A5004477355 @default.
• W817106058 creator A5017561176 @default.
• W817106058 date "2015-05-22" @default.
• W817106058 modified "2023-09-23" @default.
• W817106058 title "On Serre’s uniformity conjecture for semistable elliptic curves over totally real fields" @default.
• W817106058 cites W1586485728 @default.
• W817106058 cites W1796742574 @default.
• W817106058 cites W1797418667 @default.
• W817106058 cites W2000660542 @default.
• W817106058 cites W2001572759 @default.
• W817106058 cites W2011844852 @default.
• W817106058 cites W2046339960 @default.
• W817106058 cites W2050104347 @default.
• W817106058 cites W2062092454 @default.
• W817106058 cites W2070829846 @default.
• W817106058 cites W2072790797 @default.
• W817106058 cites W2082955605 @default.
• W817106058 cites W2084490540 @default.
• W817106058 cites W2141925423 @default.
• W817106058 cites W2167982683 @default.
• W817106058 cites W2322011600 @default.
• W817106058 cites W2335187233 @default.
• W817106058 cites W2963783415 @default.
• W817106058 cites W3100282956 @default.
• W817106058 cites W61503419 @default.
• W817106058 doi "https://doi.org/10.1007/s00209-015-1478-8" @default.
• W817106058 hasPublicationYear "2015" @default.
• W817106058 type Work @default.
• W817106058 sameAs 817106058 @default.
• W817106058 citedByCount "2" @default.
• W817106058 countsByYear W8171060582018 @default.
• W817106058 countsByYear W8171060582019 @default.
• W817106058 crossrefType "journal-article" @default.
• W817106058 hasAuthorship W817106058A5004477355 @default.
• W817106058 hasAuthorship W817106058A5017561176 @default.
• W817106058 hasBestOaLocation W8171060582 @default.
• W817106058 hasConcept C114614502 @default.
• W817106058 hasConcept C118615104 @default.
• W817106058 hasConcept C119238805 @default.
• W817106058 hasConcept C121332964 @default.
• W817106058 hasConcept C153294291 @default.
• W817106058 hasConcept C179603306 @default.
• W817106058 hasConcept C184992742 @default.
• W817106058 hasConcept C188721877 @default.
• W817106058 hasConcept C197875053 @default.
• W817106058 hasConcept C199360897 @default.
• W817106058 hasConcept C202444582 @default.
• W817106058 hasConcept C2777027219 @default.
• W817106058 hasConcept C2779478453 @default.
• W817106058 hasConcept C2780990831 @default.
• W817106058 hasConcept C33923547 @default.
• W817106058 hasConcept C41008148 @default.
• W817106058 hasConcept C54355233 @default.
• W817106058 hasConcept C73683783 @default.
• W817106058 hasConcept C86803240 @default.
• W817106058 hasConceptScore W817106058C114614502 @default.
• W817106058 hasConceptScore W817106058C118615104 @default.
• W817106058 hasConceptScore W817106058C119238805 @default.
• W817106058 hasConceptScore W817106058C121332964 @default.
• W817106058 hasConceptScore W817106058C153294291 @default.
• W817106058 hasConceptScore W817106058C179603306 @default.
• W817106058 hasConceptScore W817106058C184992742 @default.
• W817106058 hasConceptScore W817106058C188721877 @default.
• W817106058 hasConceptScore W817106058C197875053 @default.
• W817106058 hasConceptScore W817106058C199360897 @default.
• W817106058 hasConceptScore W817106058C202444582 @default.
• W817106058 hasConceptScore W817106058C2777027219 @default.
• W817106058 hasConceptScore W817106058C2779478453 @default.
• W817106058 hasConceptScore W817106058C2780990831 @default.
• W817106058 hasConceptScore W817106058C33923547 @default.
• W817106058 hasConceptScore W817106058C41008148 @default.
• W817106058 hasConceptScore W817106058C54355233 @default.
• W817106058 hasConceptScore W817106058C73683783 @default.
• W817106058 hasConceptScore W817106058C86803240 @default.
• W817106058 hasIssue "1-2" @default.
• W817106058 hasLocation W8171060581 @default.
• W817106058 hasLocation W8171060582 @default.
• W817106058 hasLocation W8171060583 @default.
• W817106058 hasLocation W8171060584 @default.
• W817106058 hasLocation W8171060585 @default.
• W817106058 hasLocation W8171060586 @default.
• W817106058 hasLocation W8171060587 @default.
• W817106058 hasOpenAccess W817106058 @default.
• W817106058 hasPrimaryLocation W8171060581 @default.
• W817106058 hasRelatedWork W1557355946 @default.
• W817106058 hasRelatedWork W1822837298 @default.
• W817106058 hasRelatedWork W2075819216 @default.
• W817106058 hasRelatedWork W2086709251 @default.
• W817106058 hasRelatedWork W2981412551 @default.
• W817106058 hasRelatedWork W3102162803 @default.
• W817106058 hasRelatedWork W3134386960 @default.
• W817106058 hasRelatedWork W4287285606 @default.
• W817106058 hasRelatedWork W4297395162 @default.
• W817106058 hasRelatedWork W4318068587 @default.
• W817106058 hasVolume "281" @default.
• W817106058 isParatext "false" @default.

• next