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Statements

Subject Item
dbr:Prym_differential
rdf:type
yago:Object100002684 yago:Surface104362025 yago:Whole100003553 yago:WikicatRiemannSurfaces yago:PhysicalEntity100001930 yago:Artifact100021939
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Prym differential
rdfs:comment
In mathematics, a Prym differential of a Riemann surface is a differential form on the universal covering space that transforms according to some complex character of the fundamental group. Equivalently it is a section of a certain line bundle on the Riemann surface in the same component as the canonical bundle. Prym differentials were introduced by Friedrich Prym.
dcterms:subject
dbc:Riemann_surfaces
dbo:wikiPageID
34925017
dbo:wikiPageRevisionID
863846494
dbo:wikiPageWikiLink
dbr:Addison-Wesley dbr:Crelle's_Journal dbr:Universal_covering_space dbr:Canonical_bundle dbr:Differential_form dbr:Character_(mathematics) dbr:Riemann_surface dbr:Fundamental_group dbc:Riemann_surfaces
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dbp:authorlink
Friedrich Prym
dbp:first
Friedrich
dbp:last
Prym
dbp:year
1869
dbo:abstract
In mathematics, a Prym differential of a Riemann surface is a differential form on the universal covering space that transforms according to some complex character of the fundamental group. Equivalently it is a section of a certain line bundle on the Riemann surface in the same component as the canonical bundle. Prym differentials were introduced by Friedrich Prym. The space of Prym differentials on a compact Riemann surface of genus g has dimension g – 1, unless the character of the fundamental group is trivial, in which case Prym differentials are the same as ordinary differentials and form a space of dimension g.
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wikipedia-en:Prym_differential?oldid=863846494&ns=0
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wikipedia-en:Prym_differential