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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.
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hodge algebraic bundle theory curves displaystyle mathcal moduli genus mathematics invariant reductive space curve sheaf named appears study families provides
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Hodge bundle | is a | pushforward of this sheaf | 0.90 | text |
| Hodge bundle | related to Definition | Let | 0.60 | section |
| Hodge bundle | related to Definition | The Hodge | 0.60 | section |
| Hodge bundle | related to Definition | Lambda | 0.60 | section |
| Hodge bundle | related to Definition | To | 0.60 | section |
| Hodge bundle | related to Definition | Hodge | 0.60 | section |
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