Algebraic Curves: An Introduction to Algebraic GeometryBenjamin, 1969 - 226 pages |
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Page 153
... map from X to Y. The domain of a rational map is the union of all open subvarieties U of X such that some f U α α α belongs to the equivalence class of the rational map . If U is the domain of a rational ... RATIONAL MAPS 153 Rational Maps.
... map from X to Y. The domain of a rational map is the union of all open subvarieties U of X such that some f U α α α belongs to the equivalence class of the rational map . If U is the domain of a rational ... RATIONAL MAPS 153 Rational Maps.
Page 226
... rational function , 71 ; of a differential , 207 . ordinary multiple point , 66 , 105 . Pappus , Pascal , 123 . place , 181 . Pole set , 43 . polynomial function , 35 ; map , 37 . power series , 49 , 50 . primitive element , theorem of ...
... rational function , 71 ; of a differential , 207 . ordinary multiple point , 66 , 105 . Pappus , Pascal , 123 . place , 181 . Pole set , 43 . polynomial function , 35 ; map , 37 . power series , 49 , 50 . primitive element , theorem of ...
Page 226
... rational function , 71 ; of a differential , 207 . ordinary multiple point , 66 , 105 . Pappus , Pascal , 123 . place , 181 . Pole set , 43 . polynomial function , 35 ; map , 37 . power series , 49 , 50 . primitive element , theorem of ...
... rational function , 71 ; of a differential , 207 . ordinary multiple point , 66 , 105 . Pappus , Pascal , 123 . place , 181 . Pole set , 43 . polynomial function , 35 ; map , 37 . power series , 49 , 50 . primitive element , theorem of ...
Table des matières
Chapter One Affine Algebraic Sets 1 Algebraic Preliminaries | 1 |
Affine Space and Algebraic Sets | 7 |
The Ideal of a Set of Points | 10 |
Droits d'auteur | |
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Expressions et termes fréquents
affine variety algebraic set algebraic subset algebraically closed assume Bezout's Theorem birational birationally equivalent called change of coordinates Chapter closed subvariety comaximal COROLLARY curve F curve of degree defined deg(D deg(F denote div(G div(z divisor element F and G f ɛ finite number follows form of degree function field Hint homogeneous hyperplane hypersurface 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-zero Nullstellensatz Op(C Op(V open subvariety ordinary multiple points plane curve point on F polynomial map Problem projective change projective curve projective plane curve projective variety Proof Prop PROPOSITION quadratic transformation quotient field R-module rational function residue ring homomorphism simple point subring subvariety Suppose tangent line uniformizing parameter unique V₁ vector space Xn+1 zero Ρε