Titlebook: Algebraic Geometry; Part I: Schemes. Wit Ulrich G?rtz,Torsten Wedhorn Textbook 20101st edition Vieweg+Teubner Verlag | Springer Fachmedien

Panther

墻壁

0932-7134 following: If g = g f +. . . g f 1 1 r r is a linear combination of the f (with coe?cients g ? k[T ,. . . ,T ]), then we have i i 1 n V(f ,. . . ,f)= V(g,f ,. . . ,f ). Thus the set of solutions depends only on the ideal 1 r 1 r a? k[T ,. . . ,T ] gene978-3-8348-9722-0Series ISSN 0932-7134 Series E-ISSN 2512-7039

文藝

沖擊力

0932-7134 f systems of polynomial equations f (x ,. . . ,x )=0, 1 1 n . . . f (x ,. . . ,x )=0. r 1 n Here the f ? k[X ,. . . ,X ] are polynomials in n variables with coe?cients in a ?eld k. i 1 n n ThesetofsolutionsisasubsetV(f ,. . . ,f)ofk . Polynomialequationsareomnipresent 1 r inandoutsidemathematics,and

哺乳動(dòng)物

不如屎殼郎

Desert

Integration and Demonstrations, simple situations, the converse to this statement is true, see Proposition 14.14, Theorem 14.32 and Theorem 14.126 below. One could say that flatness is the correct generalization of this naive point of view to the general case.

committed

友好

jumble

Flat morphisms and dimension, simple situations, the converse to this statement is true, see Proposition 14.14, Theorem 14.32 and Theorem 14.126 below. One could say that flatness is the correct generalization of this naive point of view to the general case.