翻訳と辞書 Words near each other ・ Function (engineering) ・ Function (mathematics) ・ Function (musician) ・ Function (song) ・ Function and Concept ・ Function application ・ Function approximation ・ Function at the Junction ・ Function block diagram ・ Function composition ・ Function composition (computer science) ・ Function cost analysis ・ Function Drinks ・ Function field ・ Function field (scheme theory) ・ Function field of an algebraic variety ・ Function field sieve ・ Function generator ・ Function hall ・ Function key ・ Function model ・ Function object ・ Function of a real variable ・ Function of several real variables ・ Function overloading ・ Function point ・ Function pointer ・ Function problem ・ Function prologue ・ Function prototype 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 Function field of an algebraic variety ： ウィキペディア英語版 Function field of an algebraic variety In algebraic geometry, the function field of an algebraic variety ''V'' consists of objects which are interpreted as rational functions on ''V''. In classical algebraic geometry they are ratios of polynomials; in complex algebraic geometry these are meromorphic functions and their higher-dimensional analogues; in modern algebraic geometry they are elements of some quotient ring's field of fractions. ==Definition for complex manifolds== In complex algebraic geometry the objects of study are complex analytic varieties, on which we have a local notion of complex analysis, through which we may define meromorphic functions. The function field of a variety is then the set of all meromorphic functions on the variety. (Like all meromorphic functions, these take their values in Cu.) Together with the operations of addition and multiplication of functions, this is a field in the sense of algebra. For the Riemann sphere, which is the variety P1 over the complex numbers, the global meromorphic functions are exactly the rational functions (that is, the ratios of complex polynomial functions). 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「Function field of an algebraic variety」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.