Matches in SemOpenAlex for { <https://semopenalex.org/work/W2891007119> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W2891007119 abstract "In recent years there has been an interest in constructing examples of closed Riemann surfaces whose jacobian varieties are isogenous to a product of many elliptic factors and some other jacobian varieties. The first ones, provided by Ekedahl and Serre, are examples for which the isogenous decomposition has all factors being elliptic curves. It is well known that given two elliptic curves $E_{1}$ and $E_{2}$, there is a closed Riemann surface $X$ of genus two, with equations in terms of the elliptic curves, and whose jacobian variety $JX$ is isogenous to $E_{1} times E_{2}$. In this paper, given $s geq 3$ elliptic curves $E_{1},ldots, E_{s}$, we provide an explicit construction of a closed Riemann surface $X$ of genus $g=1+2^{s-2}(s-2)$, with $JX$ isogenous to $E_{1} times cdots times E_{s} times A$, where $A$ is the product of some elliptic curves and jacobian varieties of hyperelliptic Riemann surfaces, all of them explicitly in terms of the given elliptic curves. In particular, for $s=3$, this provides explicit Riemann surface of genus three whose jacobian variety is isogenous to $E_{1} times E_{2} times E_{3}$, for given elliptic curves." @default.
- W2891007119 created "2018-09-27" @default.
- W2891007119 creator A5055194674 @default.
- W2891007119 date "2015-07-28" @default.
- W2891007119 modified "2023-09-27" @default.
- W2891007119 title "Jacobian varieties with many elliptic curves" @default.
- W2891007119 cites W1518415887 @default.
- W2891007119 cites W1535951459 @default.
- W2891007119 cites W162355792 @default.
- W2891007119 cites W1969909759 @default.
- W2891007119 cites W2005836292 @default.
- W2891007119 cites W2009078582 @default.
- W2891007119 cites W2013081204 @default.
- W2891007119 cites W2018921805 @default.
- W2891007119 cites W2023687370 @default.
- W2891007119 cites W2032984872 @default.
- W2891007119 cites W2033924187 @default.
- W2891007119 cites W2104228052 @default.
- W2891007119 cites W2116914579 @default.
- W2891007119 cites W2963333840 @default.
- W2891007119 cites W2963505092 @default.
- W2891007119 cites W2963528273 @default.
- W2891007119 cites W2963706200 @default.
- W2891007119 cites W60181758 @default.
- W2891007119 cites W70931416 @default.
- W2891007119 hasPublicationYear "2015" @default.
- W2891007119 type Work @default.
- W2891007119 sameAs 2891007119 @default.
- W2891007119 citedByCount "0" @default.
- W2891007119 crossrefType "posted-content" @default.
- W2891007119 hasAuthorship W2891007119A5055194674 @default.
- W2891007119 hasConcept C105795698 @default.
- W2891007119 hasConcept C123958593 @default.
- W2891007119 hasConcept C134306372 @default.
- W2891007119 hasConcept C136197465 @default.
- W2891007119 hasConcept C157369684 @default.
- W2891007119 hasConcept C179603306 @default.
- W2891007119 hasConcept C18556879 @default.
- W2891007119 hasConcept C200331156 @default.
- W2891007119 hasConcept C202444582 @default.
- W2891007119 hasConcept C2524010 @default.
- W2891007119 hasConcept C2781228216 @default.
- W2891007119 hasConcept C28826006 @default.
- W2891007119 hasConcept C33923547 @default.
- W2891007119 hasConcept C59822182 @default.
- W2891007119 hasConcept C73749972 @default.
- W2891007119 hasConcept C86803240 @default.
- W2891007119 hasConcept C90673727 @default.
- W2891007119 hasConceptScore W2891007119C105795698 @default.
- W2891007119 hasConceptScore W2891007119C123958593 @default.
- W2891007119 hasConceptScore W2891007119C134306372 @default.
- W2891007119 hasConceptScore W2891007119C136197465 @default.
- W2891007119 hasConceptScore W2891007119C157369684 @default.
- W2891007119 hasConceptScore W2891007119C179603306 @default.
- W2891007119 hasConceptScore W2891007119C18556879 @default.
- W2891007119 hasConceptScore W2891007119C200331156 @default.
- W2891007119 hasConceptScore W2891007119C202444582 @default.
- W2891007119 hasConceptScore W2891007119C2524010 @default.
- W2891007119 hasConceptScore W2891007119C2781228216 @default.
- W2891007119 hasConceptScore W2891007119C28826006 @default.
- W2891007119 hasConceptScore W2891007119C33923547 @default.
- W2891007119 hasConceptScore W2891007119C59822182 @default.
- W2891007119 hasConceptScore W2891007119C73749972 @default.
- W2891007119 hasConceptScore W2891007119C86803240 @default.
- W2891007119 hasConceptScore W2891007119C90673727 @default.
- W2891007119 hasLocation W28910071191 @default.
- W2891007119 hasOpenAccess W2891007119 @default.
- W2891007119 hasPrimaryLocation W28910071191 @default.
- W2891007119 hasRelatedWork W14420138 @default.
- W2891007119 hasRelatedWork W1557021386 @default.
- W2891007119 hasRelatedWork W1564397986 @default.
- W2891007119 hasRelatedWork W1603134036 @default.
- W2891007119 hasRelatedWork W2031865554 @default.
- W2891007119 hasRelatedWork W2046852972 @default.
- W2891007119 hasRelatedWork W2055369887 @default.
- W2891007119 hasRelatedWork W2091527967 @default.
- W2891007119 hasRelatedWork W2096513374 @default.
- W2891007119 hasRelatedWork W2128767688 @default.
- W2891007119 hasRelatedWork W2156447070 @default.
- W2891007119 hasRelatedWork W2247740447 @default.
- W2891007119 hasRelatedWork W2972942012 @default.
- W2891007119 hasRelatedWork W3098171681 @default.
- W2891007119 hasRelatedWork W3099118247 @default.
- W2891007119 hasRelatedWork W3104531447 @default.
- W2891007119 hasRelatedWork W3106189642 @default.
- W2891007119 hasRelatedWork W3172633370 @default.
- W2891007119 hasRelatedWork W3212723875 @default.
- W2891007119 hasRelatedWork W76964361 @default.
- W2891007119 isParatext "false" @default.
- W2891007119 isRetracted "false" @default.
- W2891007119 magId "2891007119" @default.
- W2891007119 workType "article" @default.