翻訳と辞書 Words near each other ・ Hoderi ・ Hodes ・ Hodet over vannet ・ Hodgdon Homestead Cabin ・ Hodgdon Powder Company ・ Hodgdon Shipbuilding ・ Hodgdon Site ・ Hodgdon, Maine ・ Hodge ・ Hodge (1745 cricketer) ・ Hodge (cat) ・ Hodge (surname) ・ Hodge 301 ・ Hodge algebra ・ Hodge baronets ・ Hodge bundle ・ Hodge conjecture ・ Hodge cycle ・ Hodge dual ・ Hodge Escarpment ・ Hodge Hall ・ Hodge Hill ・ Hodge index theorem ・ Hodge Jones & Allen ・ Hodge structure ・ Hodge theorem ・ Hodge theory ・ Hodge v Canada (Minister of Human Resources Development) ・ Hodge v R ・ Hodge's Cove Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Hodge bundle ： ウィキペディア英語版 Hodge bundle 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. ==Definitions== Let $\backslash mathcal\_g$ be the moduli space of algebraic curves of genus ''g'' curves over some scheme. The Hodge bundle Λ''g'' is a vector bundle on $\backslash mathcal\_g$ whose fiber at a point ''C'' in $\backslash mathcal\_g$ is the space of holomorphic differentials on the curve ''C''. To define the Hodge bundle, let $\backslash pi:\backslash mathcal\_g\backslash rightarrow\backslash mathcal\_g$ be the universal algebraic curve of genus ''g'' and let ω''g'' be its relative dualizing sheaf. The Hodge bundle is the pushforward of this sheaf, i.e. :$\backslash Lambda\_g=\backslash pi\_$ *\omega_g.\, 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Hodge bundle」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.