Matches in SemOpenAlex for { <https://semopenalex.org/work/W2969569725> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W2969569725 abstract "Let $E/mathbf{Q}$ be an elliptic curve of conductor $N$, let $p>3$ be a prime where $E$ has good ordinary reduction, and let $K$ be an imaginary quadratic field satisfying the Heegner hypothesis. In 1987, Perrin-Riou formulated an Iwasawa main conjecture for the Tate-Shafarevich group of $E$ over the anticyclotomic $mathbf{Z}_p$-extension of $K$ in terms of Heegner points. In this paper, we give a proof of Perrin-Riou's conjecture under mild hypotheses. Our proof builds on Howard's theory of bipartite Euler systems and Wei Zhang's work on Kolyvagin's conjecture. In the case when $p$ splits in $K$, we also obtain a proof of the Iwasawa-Greenberg main conjecture for the $p$-adic $L$-functions of Bertolini-Darmon-Prasanna." @default.
- W2969569725 created "2019-08-29" @default.
- W2969569725 creator A5028129170 @default.
- W2969569725 creator A5065118268 @default.
- W2969569725 creator A5087147472 @default.
- W2969569725 date "2019-08-26" @default.
- W2969569725 modified "2023-09-27" @default.
- W2969569725 title "A proof of Perrin-Riou's Heegner point main conjecture" @default.
- W2969569725 cites W1492798315 @default.
- W2969569725 cites W1503354927 @default.
- W2969569725 cites W1606052466 @default.
- W2969569725 cites W1868013030 @default.
- W2969569725 cites W1889345735 @default.
- W2969569725 cites W1990439610 @default.
- W2969569725 cites W2011210898 @default.
- W2969569725 cites W2012102331 @default.
- W2969569725 cites W2013129046 @default.
- W2969569725 cites W2024905231 @default.
- W2969569725 cites W2039036530 @default.
- W2969569725 cites W2059106953 @default.
- W2969569725 cites W2074338473 @default.
- W2969569725 cites W2119121618 @default.
- W2969569725 cites W2160781928 @default.
- W2969569725 cites W2325272962 @default.
- W2969569725 cites W2334647060 @default.
- W2969569725 cites W2510297413 @default.
- W2969569725 cites W2566743680 @default.
- W2969569725 cites W2604330053 @default.
- W2969569725 cites W2798664507 @default.
- W2969569725 cites W2963697696 @default.
- W2969569725 cites W2964084719 @default.
- W2969569725 cites W2964107467 @default.
- W2969569725 cites W2964109674 @default.
- W2969569725 cites W2981594266 @default.
- W2969569725 cites W3006636502 @default.
- W2969569725 cites W3029996371 @default.
- W2969569725 cites W391062051 @default.
- W2969569725 cites W656450974 @default.
- W2969569725 hasPublicationYear "2019" @default.
- W2969569725 type Work @default.
- W2969569725 sameAs 2969569725 @default.
- W2969569725 citedByCount "6" @default.
- W2969569725 countsByYear W29695697252019 @default.
- W2969569725 countsByYear W29695697252020 @default.
- W2969569725 countsByYear W29695697252021 @default.
- W2969569725 crossrefType "posted-content" @default.
- W2969569725 hasAuthorship W2969569725A5028129170 @default.
- W2969569725 hasAuthorship W2969569725A5065118268 @default.
- W2969569725 hasAuthorship W2969569725A5087147472 @default.
- W2969569725 hasConcept C114614502 @default.
- W2969569725 hasConcept C134306372 @default.
- W2969569725 hasConcept C179603306 @default.
- W2969569725 hasConcept C184992742 @default.
- W2969569725 hasConcept C194909684 @default.
- W2969569725 hasConcept C202444582 @default.
- W2969569725 hasConcept C2780990831 @default.
- W2969569725 hasConcept C2781217745 @default.
- W2969569725 hasConcept C33923547 @default.
- W2969569725 hasConcept C38409319 @default.
- W2969569725 hasConcept C62884695 @default.
- W2969569725 hasConceptScore W2969569725C114614502 @default.
- W2969569725 hasConceptScore W2969569725C134306372 @default.
- W2969569725 hasConceptScore W2969569725C179603306 @default.
- W2969569725 hasConceptScore W2969569725C184992742 @default.
- W2969569725 hasConceptScore W2969569725C194909684 @default.
- W2969569725 hasConceptScore W2969569725C202444582 @default.
- W2969569725 hasConceptScore W2969569725C2780990831 @default.
- W2969569725 hasConceptScore W2969569725C2781217745 @default.
- W2969569725 hasConceptScore W2969569725C33923547 @default.
- W2969569725 hasConceptScore W2969569725C38409319 @default.
- W2969569725 hasConceptScore W2969569725C62884695 @default.
- W2969569725 hasLocation W29695697251 @default.
- W2969569725 hasOpenAccess W2969569725 @default.
- W2969569725 hasPrimaryLocation W29695697251 @default.
- W2969569725 hasRelatedWork W1502244158 @default.
- W2969569725 hasRelatedWork W2024905231 @default.
- W2969569725 hasRelatedWork W2062911086 @default.
- W2969569725 hasRelatedWork W2088661122 @default.
- W2969569725 hasRelatedWork W2090906809 @default.
- W2969569725 hasRelatedWork W2165001882 @default.
- W2969569725 hasRelatedWork W2224408214 @default.
- W2969569725 hasRelatedWork W2334647060 @default.
- W2969569725 hasRelatedWork W2481775226 @default.
- W2969569725 hasRelatedWork W2900475323 @default.
- W2969569725 hasRelatedWork W2963245686 @default.
- W2969569725 hasRelatedWork W2964084719 @default.
- W2969569725 hasRelatedWork W2964107467 @default.
- W2969569725 hasRelatedWork W2964193159 @default.
- W2969569725 hasRelatedWork W2965376076 @default.
- W2969569725 hasRelatedWork W3001446207 @default.
- W2969569725 hasRelatedWork W3035459448 @default.
- W2969569725 hasRelatedWork W3102378036 @default.
- W2969569725 hasRelatedWork W3185610785 @default.
- W2969569725 hasRelatedWork W3211077913 @default.
- W2969569725 isParatext "false" @default.
- W2969569725 isRetracted "false" @default.
- W2969569725 magId "2969569725" @default.
- W2969569725 workType "article" @default.