About: Fay's trisecant identity

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In algebraic geometry, Fay's trisecant identity is an identity between theta functions of Riemann surfaces introduced by Fay . Fay's identity holds for theta functions of Jacobians of curves, but not for theta functions of general abelian varieties.

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rdfs:label	Fay's trisecant identity (en)
rdfs:comment	In algebraic geometry, Fay's trisecant identity is an identity between theta functions of Riemann surfaces introduced by Fay . Fay's identity holds for theta functions of Jacobians of curves, but not for theta functions of general abelian varieties. (en)
dcterms:subject	Riemann surfaces Theta functions Abelian varieties Mathematical identities
Wikipage page ID	34672901 (xsd:integer)
Wikipage revision ID	1030764254 (xsd:integer)
Link from a Wikipage to another Wikipage	Riemann surface Riemann surfaces Theta function Theta functions Kummer variety Algebraic geometry Prime form Abelian variety Abelian varieties Mathematical identities Academic Press Springer-Verlag
sameAs	Fay's trisecant identity Fay's trisecant identity Fay's trisecant identity Fay's trisecant identity
dbp:wikiPageUsesTemplate	dbt:Authority_control dbt:Citation dbt:Harvtxt dbt:Short_description dbt:Harvs
authorlink	John David Fay (en)
last	Fay (en)
year	1973 (xsd:integer)
loc	chapter 3, page 34, formula 45 (en)
has abstract	In algebraic geometry, Fay's trisecant identity is an identity between theta functions of Riemann surfaces introduced by Fay . Fay's identity holds for theta functions of Jacobians of curves, but not for theta functions of general abelian varieties. The name "trisecant identity" refers to the geometric interpretation given by , p.3.219), who used it to show that the Kummer variety of a genus g Riemann surface, given by the image of the map from the Jacobian to projective space of dimension 2g – 1 induced by theta functions of order 2, has a 4-dimensional space of trisecants. (en)
gold:hypernym	Identity
prov:wasDerivedFrom	wikipedia-en:Fay's_trisecant_identity?oldid=1030764254&ns=0
page length (characters) of wiki page	2897 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Fay's_trisecant_identity
is Link from a Wikipage to another Wikipage of	John Fay Cauchy matrix Prime form John David Fay Fay's formula Fay's identity Fay's trisecant formula Trisecant Trisecant formula Trisecant identity
is Wikipage redirect of	John David Fay Fay's formula Fay's identity Fay's trisecant formula Trisecant Trisecant formula Trisecant identity
is foaf:primaryTopic of	wikipedia-en:Fay's_trisecant_identity

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