Matches in SemOpenAlex for { <https://semopenalex.org/work/W2962810771> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W2962810771 abstract "In this paper, we associate canonically to every imaginary quadratic field $K=Bbb Q(sqrt{-D})$ one or two isogenous classes of CM abelian varieties over $K$, depending on whether $D$ is odd or even ($D ne 4$). These abelian varieties are characterized as of smallest dimension and smallest conductor, and such that the abelian varieties themselves descend to $Bbb Q$. When $D$ is odd or divisible by 8, they are the `canonical' ones first studied by Gross and Rohrlich. We prove that these abelian varieties have the striking property that the vanishing order of their $L$-function at the center is dictated by the root number of the associated Hecke character. We also prove that the smallest dimension of a CM abelian variety over $K$ is exactly the ideal class number of $K$ and classify when a CM abelian variety over $K$ has the smallest dimension." @default.
- W2962810771 created "2019-07-30" @default.
- W2962810771 creator A5074602435 @default.
- W2962810771 date "2003-01-26" @default.
- W2962810771 modified "2023-10-18" @default.
- W2962810771 title "On CM abelian varieties over imaginary quadratic fields" @default.
- W2962810771 cites W14682805 @default.
- W2962810771 cites W1986318578 @default.
- W2962810771 cites W2013011753 @default.
- W2962810771 cites W2066137349 @default.
- W2962810771 cites W2069122556 @default.
- W2962810771 cites W2087574511 @default.
- W2962810771 doi "https://doi.org/10.48550/arxiv.math/0301306" @default.
- W2962810771 hasPublicationYear "2003" @default.
- W2962810771 type Work @default.
- W2962810771 sameAs 2962810771 @default.
- W2962810771 citedByCount "0" @default.
- W2962810771 crossrefType "posted-content" @default.
- W2962810771 hasAuthorship W2962810771A5074602435 @default.
- W2962810771 hasBestOaLocation W29628107711 @default.
- W2962810771 hasConcept C10138342 @default.
- W2962810771 hasConcept C105795698 @default.
- W2962810771 hasConcept C114614502 @default.
- W2962810771 hasConcept C129844170 @default.
- W2962810771 hasConcept C136170076 @default.
- W2962810771 hasConcept C136197465 @default.
- W2962810771 hasConcept C162324750 @default.
- W2962810771 hasConcept C166437778 @default.
- W2962810771 hasConcept C167300717 @default.
- W2962810771 hasConcept C17744445 @default.
- W2962810771 hasConcept C182306322 @default.
- W2962810771 hasConcept C195637984 @default.
- W2962810771 hasConcept C199539241 @default.
- W2962810771 hasConcept C200681373 @default.
- W2962810771 hasConcept C202444582 @default.
- W2962810771 hasConcept C2524010 @default.
- W2962810771 hasConcept C2776639384 @default.
- W2962810771 hasConcept C33676613 @default.
- W2962810771 hasConcept C33923547 @default.
- W2962810771 hasConcept C46709022 @default.
- W2962810771 hasConcept C81008192 @default.
- W2962810771 hasConcept C95136341 @default.
- W2962810771 hasConceptScore W2962810771C10138342 @default.
- W2962810771 hasConceptScore W2962810771C105795698 @default.
- W2962810771 hasConceptScore W2962810771C114614502 @default.
- W2962810771 hasConceptScore W2962810771C129844170 @default.
- W2962810771 hasConceptScore W2962810771C136170076 @default.
- W2962810771 hasConceptScore W2962810771C136197465 @default.
- W2962810771 hasConceptScore W2962810771C162324750 @default.
- W2962810771 hasConceptScore W2962810771C166437778 @default.
- W2962810771 hasConceptScore W2962810771C167300717 @default.
- W2962810771 hasConceptScore W2962810771C17744445 @default.
- W2962810771 hasConceptScore W2962810771C182306322 @default.
- W2962810771 hasConceptScore W2962810771C195637984 @default.
- W2962810771 hasConceptScore W2962810771C199539241 @default.
- W2962810771 hasConceptScore W2962810771C200681373 @default.
- W2962810771 hasConceptScore W2962810771C202444582 @default.
- W2962810771 hasConceptScore W2962810771C2524010 @default.
- W2962810771 hasConceptScore W2962810771C2776639384 @default.
- W2962810771 hasConceptScore W2962810771C33676613 @default.
- W2962810771 hasConceptScore W2962810771C33923547 @default.
- W2962810771 hasConceptScore W2962810771C46709022 @default.
- W2962810771 hasConceptScore W2962810771C81008192 @default.
- W2962810771 hasConceptScore W2962810771C95136341 @default.
- W2962810771 hasLocation W29628107711 @default.
- W2962810771 hasLocation W29628107712 @default.
- W2962810771 hasOpenAccess W2962810771 @default.
- W2962810771 hasPrimaryLocation W29628107711 @default.
- W2962810771 hasRelatedWork W1653403717 @default.
- W2962810771 hasRelatedWork W2008239144 @default.
- W2962810771 hasRelatedWork W2031042129 @default.
- W2962810771 hasRelatedWork W2963112871 @default.
- W2962810771 hasRelatedWork W2994723358 @default.
- W2962810771 hasRelatedWork W3137155317 @default.
- W2962810771 hasRelatedWork W3157322793 @default.
- W2962810771 hasRelatedWork W3211035703 @default.
- W2962810771 hasRelatedWork W393067099 @default.
- W2962810771 hasRelatedWork W4287990624 @default.
- W2962810771 isParatext "false" @default.
- W2962810771 isRetracted "false" @default.
- W2962810771 magId "2962810771" @default.
- W2962810771 workType "article" @default.