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Statements

Subject Item
dbr:Coble_hypersurface
rdf:type
yago:WikicatAbelianVarieties yago:Group100031264 yago:Abstraction100002137 yago:Assortment108398773 yago:Collection107951464
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Coble hypersurface
rdfs:comment
In algebraic geometry, a Coble hypersurface is one of the hypersurfaces associated to the Jacobian variety of a curveof genus 2 or 3 by Arthur Coble. There are two similar but different types of Coble hypersurfaces.
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dbc:Abelian_varieties
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23426765
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1019243656
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dbr:American_Mathematical_Society dbr:Kummer_variety dbr:Transactions_of_the_American_Mathematical_Society dbr:Arthur_Coble dbr:Singular_point_of_an_algebraic_variety dbr:Algebraic_geometry dbr:Jacobian_variety dbc:Abelian_varieties dbr:Coble_curve dbr:Coble_surface dbr:Coble_variety dbr:Genus_(topology) dbr:Projective_space
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In algebraic geometry, a Coble hypersurface is one of the hypersurfaces associated to the Jacobian variety of a curveof genus 2 or 3 by Arthur Coble. There are two similar but different types of Coble hypersurfaces. * The Kummer variety of the Jacobian of a genus 3 curve can be embedded in 7-dimensional projective space under the 2-theta map, and is then the singular locus of a 6-dimensional quartic hypersurface, called a Coble hypersurface. * Similarly the Jacobian of a genus 2 curve can be embedded in 8-dimensional projective space under the 3-theta map, and is then the singular locus of a 7-dimensional cubic hypersurface, also called a Coble hypersurface.
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wikipedia-en:Coble_hypersurface?oldid=1019243656&ns=0
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wikipedia-en:Coble_hypersurface