Algebraic Curves: An Introduction to Algebraic GeometryBenjamin, 1969 - 226 pages |
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Résultats 1-3 sur 6
Page 195
... div ( w . ) + tZ > 0 , i t > 0 , -j i = 1 , ... , n . Then w1x3 ε L ( ( r + t ) Z ) W.X j = 0 , 1 , ... , r . Since the W for i = 1 , ... , n , independent over k ( x ) , j -1 and 1 , x " ... " -r X are i are indep- endent over k ...
... div ( w . ) + tZ > 0 , i t > 0 , -j i = 1 , ... , n . Then w1x3 ε L ( ( r + t ) Z ) W.X j = 0 , 1 , ... , r . Since the W for i = 1 , ... , n , independent over k ( x ) , j -1 and 1 , x " ... " -r X are i are indep- endent over k ...
Page 208
... Z for P in Proof : such a way that : Z.C = and no tangent to C ( 1,0,0 ) . Let n & EP , P distinct ; ( 1,0,0 ) c ; Σ ... div ( G ) - E , deg ( G ) = n - 3 , are linearly equivalent , it div ( f ̧ ) . suffices to show that div ( w ) = En ...
... Z for P in Proof : such a way that : Z.C = and no tangent to C ( 1,0,0 ) . Let n & EP , P distinct ; ( 1,0,0 ) c ; Σ ... div ( G ) - E , deg ( G ) = n - 3 , are linearly equivalent , it div ( f ̧ ) . suffices to show that div ( w ) = En ...
Page 223
... div ( G ) , div ( z ) 188 44,93 ( 2 ) 09 ( 2 ) ∞ 188 DVR , ord 47 DE D ' 189 k [ [ X ] ] 49 E 190 f * F * , In mp ( F ) ordp , ord I ( P , FG ) p1 ( k ) , p1 50 , 104 L ( D ) , e ( D ) 192 80 53 g 196 66 ( R ) 204 k ordp 71 , 104 , 182 ...
... div ( G ) , div ( z ) 188 44,93 ( 2 ) 09 ( 2 ) ∞ 188 DVR , ord 47 DE D ' 189 k [ [ X ] ] 49 E 190 f * F * , In mp ( F ) ordp , ord I ( P , FG ) p1 ( k ) , p1 50 , 104 L ( D ) , e ( D ) 192 80 53 g 196 66 ( R ) 204 k ordp 71 , 104 , 182 ...
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 | |
26 autres sections non affichées
Autres éditions - Tout afficher
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