Algebraic Curves: An Introduction to Algebraic GeometryBenjamin, 1969 - 226 pages |
À l'intérieur du livre
Résultats 1-3 sur 12
Page 8
... hypersurface defined by F , and is denoted by V ( F ) . called an affine plane curve . A hypersurface in A hypersurface in A2 ( k ) is If F is a polynomial of degree one , V ( F ) is called a hyperplane in A ( k ) ; if n = it is a line ...
... hypersurface defined by F , and is denoted by V ( F ) . called an affine plane curve . A hypersurface in A hypersurface in A2 ( k ) is If F is a polynomial of degree one , V ( F ) is called a hyperplane in A ( k ) ; if n = it is a line ...
Page 40
... hypersurface of T T T Τ F , V is the hypersurface of F ( if F is not a constant ) . An affine change of coordinates on An nomial map Τ = n is a poly- Α n Α such that ( T1 , ... , T ) T ) : A n each T is a polynomial of degree 1 , i is ...
... hypersurface of T T T Τ F , V is the hypersurface of F ( if F is not a constant ) . An affine change of coordinates on An nomial map Τ = n is a poly- Α n Α such that ( T1 , ... , T ) T ) : A n each T is a polynomial of degree 1 , i is ...
Page 91
... hypersurfaces correspond to irreducible forms . A hyperplane is a hypersurface defined by a form of degree one . The hyperplanes V ( X ; ) , i = 1 , ... , n + 1 , may be called the coordinate hyperplanes , or the hyperplanes at infinity ...
... hypersurfaces correspond to irreducible forms . A hyperplane is a hypersurface defined by a form of degree one . The hyperplanes V ( X ; ) , i = 1 , ... , n + 1 , may be called the coordinate hyperplanes , or the hyperplanes at infinity ...
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