Algebraic Curves: An Introduction to Algebraic GeometryBenjamin, 1969 - 226 pages |
À l'intérieur du livre
Résultats 1-3 sur 27
Page 103
An Introduction to Algebraic Geometry William Fulton, Richard Weiss. CHAPTER 5 PROJECTIVE PLANE CURVES 1 . Definitions A projective plane curve is a hypersurface in P2 , except that , as with affine curves , we want to allow multiple ...
An Introduction to Algebraic Geometry William Fulton, Richard Weiss. CHAPTER 5 PROJECTIVE PLANE CURVES 1 . Definitions A projective plane curve is a hypersurface in P2 , except that , as with affine curves , we want to allow multiple ...
Page 107
... curve of degree is a curve of degree n , L then I ( P , F ( L ) = = n . Prove that an irreducible cubic is either non- singular or has at most one double point ( a node or a cusp ) . ( Hint : Use Problem 5-12 ... PROJECTIVE PLANE CURVES 107.
... curve of degree is a curve of degree n , L then I ( P , F ( L ) = = n . Prove that an irreducible cubic is either non- singular or has at most one double point ( a node or a cusp ) . ( Hint : Use Problem 5-12 ... PROJECTIVE PLANE CURVES 107.
Page 115
... curve is irreducible . Take two lines . 5-22 * . Let F be an irreducible curve of degree n . The othue , 634 Assume F 、‡ 0. Apply Cor . 1 to F X and Fx , and conclude that Σmp ( F ) ( mp ( F ) -1 ) ≤ n ( n ... PROJECTIVE PLANE CURVES 115.
... curve is irreducible . Take two lines . 5-22 * . Let F be an irreducible curve of degree n . The othue , 634 Assume F 、‡ 0. Apply Cor . 1 to F X and Fx , and conclude that Σmp ( F ) ( mp ( F ) -1 ) ≤ n ( n ... PROJECTIVE PLANE CURVES 115.
Table des matières
Chapter One Affine Algebraic Sets | 1 |
Chapter Two Affine Varieties | 38 |
35 | 51 |
Droits d'auteur | |
9 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 denote div(G div(z divisor element F and G F ɛ finite number flex follows form of degree function field Hint hyperplane hypersurface induced integer intersection number isomorphism LEMMA Let F linear local ring maximal ideal module-finite morphism mp(F Noether's non-singular non-zero Nullstellensatz Op(C Op(F 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 resp ring homomorphism simple point subring subvariety Suppose tangent line uniformizing parameter unique vector space zero ε Ι Ρε