Matches in SemOpenAlex for { <https://semopenalex.org/work/W4288326051> ?p ?o ?g. }
Showing items 1 to 54 of
54
with 100 items per page.
- W4288326051 abstract "Let $k$ be a number field and $U$ a smooth integral $k$-variety. Let $X to U$ be an abelian scheme. We consider the set $mathcal{R}$ of rational points $m in U(k)$ such that the Mordell-Weil rank of the fibre $U_{m}$ is strictly bigger than the Mordell-Weil rank of the generic fibre. We prove the following results. If the $k$-variety $X$ is $k$-unirational, then $mathcal{R}$ is dense for the Zariski topology on $U$. If $X$ is $k$-rational, then $mathcal{R}$ is not thin in $U$. This generalizes results of Billard and of Salgado. The main idea goes back to N'eron's thesis: use the generic point of the generic fibre of the family." @default.
- W4288326051 created "2022-07-28" @default.
- W4288326051 creator A5058884818 @default.
- W4288326051 date "2019-06-16" @default.
- W4288326051 modified "2023-10-17" @default.
- W4288326051 title "Point g'en'erique et saut du rang du groupe de Mordell-Weil" @default.
- W4288326051 doi "https://doi.org/10.48550/arxiv.1906.06670" @default.
- W4288326051 hasPublicationYear "2019" @default.
- W4288326051 type Work @default.
- W4288326051 citedByCount "0" @default.
- W4288326051 crossrefType "posted-content" @default.
- W4288326051 hasAuthorship W4288326051A5058884818 @default.
- W4288326051 hasBestOaLocation W42883260511 @default.
- W4288326051 hasConcept C105795698 @default.
- W4288326051 hasConcept C114614502 @default.
- W4288326051 hasConcept C12657307 @default.
- W4288326051 hasConcept C134306372 @default.
- W4288326051 hasConcept C136170076 @default.
- W4288326051 hasConcept C136197465 @default.
- W4288326051 hasConcept C164226766 @default.
- W4288326051 hasConcept C202444582 @default.
- W4288326051 hasConcept C33923547 @default.
- W4288326051 hasConcept C46709022 @default.
- W4288326051 hasConcept C77618280 @default.
- W4288326051 hasConcept C9652623 @default.
- W4288326051 hasConceptScore W4288326051C105795698 @default.
- W4288326051 hasConceptScore W4288326051C114614502 @default.
- W4288326051 hasConceptScore W4288326051C12657307 @default.
- W4288326051 hasConceptScore W4288326051C134306372 @default.
- W4288326051 hasConceptScore W4288326051C136170076 @default.
- W4288326051 hasConceptScore W4288326051C136197465 @default.
- W4288326051 hasConceptScore W4288326051C164226766 @default.
- W4288326051 hasConceptScore W4288326051C202444582 @default.
- W4288326051 hasConceptScore W4288326051C33923547 @default.
- W4288326051 hasConceptScore W4288326051C46709022 @default.
- W4288326051 hasConceptScore W4288326051C77618280 @default.
- W4288326051 hasConceptScore W4288326051C9652623 @default.
- W4288326051 hasLocation W42883260511 @default.
- W4288326051 hasLocation W42883260512 @default.
- W4288326051 hasOpenAccess W4288326051 @default.
- W4288326051 hasPrimaryLocation W42883260511 @default.
- W4288326051 hasRelatedWork W2005451648 @default.
- W4288326051 hasRelatedWork W2032361691 @default.
- W4288326051 hasRelatedWork W2148231123 @default.
- W4288326051 hasRelatedWork W2276687124 @default.
- W4288326051 hasRelatedWork W2971565066 @default.
- W4288326051 hasRelatedWork W3101808686 @default.
- W4288326051 hasRelatedWork W3126773016 @default.
- W4288326051 hasRelatedWork W3210568327 @default.
- W4288326051 hasRelatedWork W3211035703 @default.
- W4288326051 hasRelatedWork W776536739 @default.
- W4288326051 isParatext "false" @default.
- W4288326051 isRetracted "false" @default.
- W4288326051 workType "article" @default.