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- Hodge_bundle abstract "In mathematics, the Hodge bundle, named after W. V. D. Hodge, appears in the study of families of curves, where it provides an invariant in the moduli theory of algebraic curves. Furthermore, it has applications to the theory of modular forms on reductive algebraic groups and string theory.Let be the moduli space of algebraic curves of genus g curves over some scheme. The Hodge bundle Λg is a vector bundle on whose fiber at a point C in is the space of holomorphic differentials on the curve C. To define the Hodge bundle, let be the universal algebraic curve of genus g and let ωg be its relative dualizing sheaf. The Hodge bundle is the pushforward of this sheaf, i.e.".
- Hodge_bundle wikiPageID "26155744".
- Hodge_bundle wikiPageRevisionID "496664448".
- Hodge_bundle hasPhotoCollection Hodge_bundle.
- Hodge_bundle subject Category:Algebraic_curves.
- Hodge_bundle subject Category:Invariant_theory.
- Hodge_bundle subject Category:Moduli_theory.
- Hodge_bundle type Abstraction100002137.
- Hodge_bundle type AlgebraicCurves.
- Hodge_bundle type Attribute100024264.
- Hodge_bundle type Curve113867641.
- Hodge_bundle type Line113863771.
- Hodge_bundle type Shape100027807.
- Hodge_bundle comment "In mathematics, the Hodge bundle, named after W. V. D. Hodge, appears in the study of families of curves, where it provides an invariant in the moduli theory of algebraic curves. Furthermore, it has applications to the theory of modular forms on reductive algebraic groups and string theory.Let be the moduli space of algebraic curves of genus g curves over some scheme. The Hodge bundle Λg is a vector bundle on whose fiber at a point C in is the space of holomorphic differentials on the curve C.".
- Hodge_bundle label "Hodge bundle".
- Hodge_bundle sameAs m.0b6mphk.
- Hodge_bundle sameAs Q5876053.
- Hodge_bundle sameAs Q5876053.
- Hodge_bundle sameAs Hodge_bundle.
- Hodge_bundle wasDerivedFrom Hodge_bundle?oldid=496664448.
- Hodge_bundle isPrimaryTopicOf Hodge_bundle.