翻訳と辞書 Words near each other ・ Abelia (organisation) ・ Abelia chinensis ・ Abelia corymbosa ・ Abelia floribunda ・ Abelia mosanensis ・ Abelia schumannii ・ Abelia spathulata ・ Abelia × grandiflora ・ Abelian ・ Abelian and tauberian theorems ・ Abelian category ・ Abelian extension ・ Abelian group ・ Abelian integral ・ Abelian sandpile model ・ Abelian surface ・ Abelian variety ・ Abelian variety of CM-type ・ Abelian von Neumann algebra ・ Abelians ・ Abelin ・ Abelin reaction ・ Abeline's House ・ Abeliophyllum ・ Abelisaur ・ Abelisauridae ・ Abelisaurus ・ Abelitz ・ Abelitz (river) ・ Abell 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 Abelian surface ： ウィキペディア英語版 Abelian surface In mathematics, an abelian surface is 2-dimensional abelian variety. One-dimensional complex tori are just elliptic curves and are all algebraic, but Riemann discovered that most complex tori of dimension 2 are not algebraic. The algebraic ones are called abelian surfaces and are exactly the 2-dimensional abelian varieties. Most of their theory is a special case of the theory of higher-dimensional tori or abelian varieties. Criteria to be a product of two elliptic curves (up to isogeny) were a popular study in the nineteenth century. Invariants: The plurigenera are all 1. The surface is diffeomorphic to ''S''1×''S''1×''S''1×''S''1 so the fundamental group is Z4. Hodge diamond: Examples: A product of two elliptic curves. The Jacobian variety of a genus 2 curve. ==See also== * Hodge theory 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「Abelian surface」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.