Algebraic Curves: An Introduction to Algebraic GeometryAddison-Wesley Publishing Company, Advanced Book Program, 1989 - 226 pages |
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Résultats 1-3 sur 72
Page 24
... irreducible curve for any algebraically closed field k , and any λεκ . 1-36 . Let dim ( C [ X , Y ] / I ) . I = ( x2 - x2 , y2 + x2 ) − ¢ [ X , Y ] . C Find V ( I ) and 1-37 * . Let K degree n > 0 . be any field , F ε K [ X ] a ...
... irreducible curve for any algebraically closed field k , and any λεκ . 1-36 . Let dim ( C [ X , Y ] / I ) . I = ( x2 - x2 , y2 + x2 ) − ¢ [ X , Y ] . C Find V ( I ) and 1-37 * . Let K degree n > 0 . be any field , F ε K [ X ] a ...
Page 106
... irreducible curve . ( a ) Show that Fx , Fy , or Fz0 . ( b ) Show that F has only a finite number of multiple points . 5-9 . ( a ) Let F be an irreducible conic , P = ( 0,1,0 ) a simple point on F , and 2 = 0 the tangent line to 2 F at ...
... irreducible curve . ( a ) Show that Fx , Fy , or Fz0 . ( b ) Show that F has only a finite number of multiple points . 5-9 . ( a ) Let F be an irreducible conic , P = ( 0,1,0 ) a simple point on F , and 2 = 0 the tangent line to 2 F at ...
Page 118
... irreducible conics are non - singular , and an irreducible cubic can have at most one double point . Letting n = we see that an irreducible quartic has at most three double points or one triple point , etc. Note that the curve x + yn ...
... irreducible conics are non - singular , and an irreducible cubic can have at most one double point . Letting n = we see that an irreducible quartic has at most three double points or one triple point , etc. Note that the curve x + yn ...
Autres éditions - Tout afficher
Algebraic Curves: An Introduction to Algebraic Geometry William Fulton,Richard Weiss Affichage d'extraits - 1969 |
Expressions et termes fréquents
affine variety algebraic set algebraic subset algebraically closed assume birationally equivalent called canonical divisor change of coordinates Chapter Char(k closed subvariety components COROLLARY curve F curve of degree defined deg(D div(f div(G div(w div(z effective divisor F and G F ɛ F₁ finite number follows form of degree function field genus Hint 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-singular cubic non-zero Nullstellensatz Op(C Op(F Op(V Op(X open subvariety ordinary multiple points plane curve polynomial map Problem projective curve projective plane curve projective variety Proof Prop PROPOSITION quadratic transformation quotient field R-module rational function residue Riemann's Theorem ring homomorphism simple point subring subvariety Suppose tangent line uniformizing parameter unique vector space Xn+1 zero ε Ι Ρεχ