Algebraic Curves: An Introduction to Algebraic GeometryBenjamin, 1969 - 226 pages |
À l'intérieur du livre
Résultats 1-3 sur 11
Page 1
... denote the domain of integers , while Q , R , and C will denote the fields of rational , real , and com- plex numbers , respectively . Any domain R has a quotient field K. K is 1 Chapter One Affine Algebraic Sets 1 Algebraic Preliminaries.
... denote the domain of integers , while Q , R , and C will denote the fields of rational , real , and com- plex numbers , respectively . Any domain R has a quotient field K. K is 1 Chapter One Affine Algebraic Sets 1 Algebraic Preliminaries.
Page 70
... denote if and only if In this case , if Р which is not tangent to F at P , then the image of L in Op ( F ) is a uniformizing parameter for ✪ ̧ ( F ) . P Proof : Suppose P is a simple point on F , and L is a line through P , not tangent ...
... denote if and only if In this case , if Р which is not tangent to F at P , then the image of L in Op ( F ) is a uniformizing parameter for ✪ ̧ ( F ) . P Proof : Suppose P is a simple point on F , and L is a line through P , not tangent ...
Page 83
... denote δε Μ , denote its ( a ) Show that the map from { forms of degree 1 in k [ X , Y ] } to M / M2 taking ax + bY to ax + by is an isomorphism of vector spaces . ( See Problem 3-13 ) . ( b ) Suppose P is an ordinary multiple point ...
... denote δε Μ , denote its ( a ) Show that the map from { forms of degree 1 in k [ X , Y ] } to M / M2 taking ax + bY to ax + by is an isomorphism of vector spaces . ( See Problem 3-13 ) . ( b ) Suppose P is an ordinary multiple point ...
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