Algebraic Curves: An Introduction to Algebraic GeometryBenjamin, 1969 - 226 pages |
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Page xii
... Chapter Four . Projective Varieties 1. Projective Space Projective Algebraic Sets 70 74 3 . Affine and Projective Varieties 4 . Multiprojective Space 100 68888 85 96 Chapter Five . Projective Plane Curves Definitions 103 2 . Linear ...
... Chapter Four . Projective Varieties 1. Projective Space Projective Algebraic Sets 70 74 3 . Affine and Projective Varieties 4 . Multiprojective Space 100 68888 85 96 Chapter Five . Projective Plane Curves Definitions 103 2 . Linear ...
Page xii
... Chapter Four . Projective Varieties 1 . Projective Space 85 2 . Projective Algebraic Sets 88 3 . Affine and Projective Varieties 96 4 . Multiprojective Space 100 Chapter Five . Projective Plane Curves 1 . Definitions 2 . Linear Systems ...
... Chapter Four . Projective Varieties 1 . Projective Space 85 2 . Projective Algebraic Sets 88 3 . Affine and Projective Varieties 96 4 . Multiprojective Space 100 Chapter Five . Projective Plane Curves 1 . Definitions 2 . Linear Systems ...
Page 187
... chapter , OC will be an irreducible projective curve , f : X → C the birational morphism from the non - singular model X onto C , K = K ( C ) = K ( X ) the function field , as in Chapter 7 , $ 5 . The points P ε X will be identified ...
... chapter , OC will be an irreducible projective curve , f : X → C the birational morphism from the non - singular model X onto C , K = K ( C ) = K ( X ) the function field , as in Chapter 7 , $ 5 . The points P ε X will be identified ...
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