Matches in SemOpenAlex for { <https://semopenalex.org/work/W1586156746> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W1586156746 abstract "Faltings' theorem states that curves of genus $g geq 2$ have finitely many rational points. Using the ideas of Faltings, Mumford, Parshin and Raynaud, one obtains an upper bound on the number of rational points, but this bound is too large to be used in any reasonable sense. In 1985, Coleman showed that Chabauty's method, which works when the Mordell-Weil rank of the Jacobian of the curve is smaller than $g$, can be used to give a good effective bound on the number of rational points of curves of genus $g > 1$. We draw ideas from nonarchimedean geometry to show that we can also give an effective bound on the number of rational points outside of the special set of $d$-th symmetric power of $X$, where $X$ is a curve of genus $g > d$, when the Mordell-Weil rank of the Jacobian of the curve is at most $g-d$ and the curve further satisfies certain rigid analytic conditions." @default.
- W1586156746 created "2016-06-24" @default.
- W1586156746 creator A5021345805 @default.
- W1586156746 date "2014-01-01" @default.
- W1586156746 modified "2023-10-01" @default.
- W1586156746 title "Effective Chabauty for symmetric powers of curves" @default.
- W1586156746 cites W1528259637 @default.
- W1586156746 cites W1978197321 @default.
- W1586156746 cites W1993756907 @default.
- W1586156746 cites W2049707341 @default.
- W1586156746 cites W2050599248 @default.
- W1586156746 cites W2111021870 @default.
- W1586156746 cites W2140959854 @default.
- W1586156746 cites W2143697556 @default.
- W1586156746 cites W2963176145 @default.
- W1586156746 cites W2963671785 @default.
- W1586156746 cites W2964048859 @default.
- W1586156746 cites W3105935601 @default.
- W1586156746 cites W588028457 @default.
- W1586156746 cites W3203668817 @default.
- W1586156746 hasPublicationYear "2014" @default.
- W1586156746 type Work @default.
- W1586156746 sameAs 1586156746 @default.
- W1586156746 citedByCount "2" @default.
- W1586156746 countsByYear W15861567462017 @default.
- W1586156746 crossrefType "journal-article" @default.
- W1586156746 hasAuthorship W1586156746A5021345805 @default.
- W1586156746 hasConcept C114614502 @default.
- W1586156746 hasConcept C134306372 @default.
- W1586156746 hasConcept C157369684 @default.
- W1586156746 hasConcept C164226766 @default.
- W1586156746 hasConcept C200331156 @default.
- W1586156746 hasConcept C202444582 @default.
- W1586156746 hasConcept C28826006 @default.
- W1586156746 hasConcept C33923547 @default.
- W1586156746 hasConcept C59822182 @default.
- W1586156746 hasConcept C77553402 @default.
- W1586156746 hasConcept C86803240 @default.
- W1586156746 hasConceptScore W1586156746C114614502 @default.
- W1586156746 hasConceptScore W1586156746C134306372 @default.
- W1586156746 hasConceptScore W1586156746C157369684 @default.
- W1586156746 hasConceptScore W1586156746C164226766 @default.
- W1586156746 hasConceptScore W1586156746C200331156 @default.
- W1586156746 hasConceptScore W1586156746C202444582 @default.
- W1586156746 hasConceptScore W1586156746C28826006 @default.
- W1586156746 hasConceptScore W1586156746C33923547 @default.
- W1586156746 hasConceptScore W1586156746C59822182 @default.
- W1586156746 hasConceptScore W1586156746C77553402 @default.
- W1586156746 hasConceptScore W1586156746C86803240 @default.
- W1586156746 hasLocation W15861567461 @default.
- W1586156746 hasOpenAccess W1586156746 @default.
- W1586156746 hasPrimaryLocation W15861567461 @default.
- W1586156746 hasRelatedWork W1480642669 @default.
- W1586156746 hasRelatedWork W1795431579 @default.
- W1586156746 hasRelatedWork W1987724701 @default.
- W1586156746 hasRelatedWork W1993772258 @default.
- W1586156746 hasRelatedWork W2012601265 @default.
- W1586156746 hasRelatedWork W2016794796 @default.
- W1586156746 hasRelatedWork W2026135907 @default.
- W1586156746 hasRelatedWork W2043142883 @default.
- W1586156746 hasRelatedWork W2064310456 @default.
- W1586156746 hasRelatedWork W2152333348 @default.
- W1586156746 hasRelatedWork W2727489317 @default.
- W1586156746 hasRelatedWork W2752240442 @default.
- W1586156746 hasRelatedWork W2808624274 @default.
- W1586156746 hasRelatedWork W2982386868 @default.
- W1586156746 hasRelatedWork W2983448132 @default.
- W1586156746 hasRelatedWork W3105935601 @default.
- W1586156746 hasRelatedWork W3107102513 @default.
- W1586156746 hasRelatedWork W3131080813 @default.
- W1586156746 hasRelatedWork W3192255450 @default.
- W1586156746 hasRelatedWork W3197479215 @default.
- W1586156746 isParatext "false" @default.
- W1586156746 isRetracted "false" @default.
- W1586156746 magId "1586156746" @default.
- W1586156746 workType "article" @default.