Algebraic Curves: An Introduction to Algebraic GeometryAddison-Wesley Publishing Company, Advanced Book Program, 1989 - 226 pages |
À l'intérieur du livre
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Page 138
... morphism from X onto Y such that morphism . A variéty which is isomorphic to a closed subvariety n of some An ( resp . p ) is called an affine variety ( resp . a projective variety ) . When we write " X CA is an affine variety " , we ...
... morphism from X onto Y such that morphism . A variéty which is isomorphic to a closed subvariety n of some An ( resp . p ) is called an affine variety ( resp . a projective variety ) . When we write " X CA is an affine variety " , we ...
Page 142
... morphism . ( b ) The composition of morphisms is a morphism . Let f : X Y be a morphism of varieties , X ' C X , Y ' CY subvarieties ( open or closed ) . Assume f ( x ' ) ≤ Y ' . Then the restriction of f to X ' is a morphism from X ...
... morphism . ( b ) The composition of morphisms is a morphism . Let f : X Y be a morphism of varieties , X ' C X , Y ' CY subvarieties ( open or closed ) . Assume f ( x ' ) ≤ Y ' . Then the restriction of f to X ' is a morphism from X ...
Page 153
... morphism belonging α = α to the equivalence class of the map ; every equivalent morphism is a restriction of f . f from Thus a rational map from X to Y may also be defined as a morphism an open subvariety U of X to Y such that f cannot ...
... morphism belonging α = α to the equivalence class of the map ; every equivalent morphism is a restriction of f . f from Thus a rational map from X to Y may also be defined as a morphism an open subvariety U of X to Y such that f cannot ...
Autres éditions - Tout afficher
Algebraic Curves: An Introduction to Algebraic Geometry William Fulton,Richard Weiss Affichage d'extraits - 1969 |
Expressions et termes fréquents
affine variety algebraic set algebraic subset algebraically closed assume birationally equivalent called canonical divisor change of coordinates Chapter Char(k closed subvariety components COROLLARY curve F curve of degree defined deg(D div(f div(G div(w div(z effective divisor F and G F ɛ F₁ finite number follows form of degree function field genus Hint induced integer intersection number isomorphism k[X₁ LEMMA Let F linear local ring maximal ideal module-finite morphism mp(F Noether's non-singular non-singular cubic non-zero Nullstellensatz Op(C Op(F Op(V Op(X open subvariety ordinary multiple points plane curve polynomial map Problem projective curve projective plane curve projective variety Proof Prop PROPOSITION quadratic transformation quotient field R-module rational function residue Riemann's Theorem ring homomorphism simple point subring subvariety Suppose tangent line uniformizing parameter unique vector space Xn+1 zero ε Ι Ρεχ