Algebraic Curves: An Introduction to Algebraic GeometryBenjamin, 1969 - 226 pages |
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Page 73
... flex if ord ( L ) ≥ 3 , where L is the tangent to Fat P. The flex is called ordinary if ord ( L ) = 3 , a higher flex otherwise . ( a ) Let F = Y - X. For which n does F have a flex at P = ( 0,0 ) , and what kind of flex ? ( b ) ...
... flex if ord ( L ) ≥ 3 , where L is the tangent to Fat P. The flex is called ordinary if ord ( L ) = 3 , a higher flex otherwise . ( a ) Let F = Y - X. For which n does F have a flex at P = ( 0,0 ) , and what kind of flex ? ( b ) ...
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... flex . F. if and only if P is an Proof : ( Outline ) ( a ) Let T be a projective change of coordinates . FT = ( det ... flex Р is an ordinary flex if and only and d 0 . a ‡ A short calculation shows that g = 2a + ( 6d + 2ab ) x + higher ...
... flex . F. if and only if P is an Proof : ( Outline ) ( a ) Let T be a projective change of coordinates . FT = ( det ... flex Р is an ordinary flex if and only and d 0 . a ‡ A short calculation shows that g = 2a + ( 6d + 2ab ) x + higher ...
Page 117
An Introduction to Algebraic Geometry William Fulton, Richard Weiss. has a flex . ( 2 ) A non - singular cubic has nine flexes , all ordinary . 5-24 . ( a ) Let ( 0,1,0 ) be a flex on an irreducible cubic F , Z = 0 the tangent line to F ...
An Introduction to Algebraic Geometry William Fulton, Richard Weiss. has a flex . ( 2 ) A non - singular cubic has nine flexes , all ordinary . 5-24 . ( a ) Let ( 0,1,0 ) be a flex on an irreducible cubic F , Z = 0 the tangent line to F ...
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
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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