Algebraic Curves: An Introduction to Algebraic GeometryBenjamin, 1969 - 226 pages |
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... unique expression n Σ a a ( 1 ) X ( i ) , ε R. F • where the x ( i ) are the monomials , is homogeneous , or a form , of degree d , if all coefficients d ( i ) are zero except possible those belonging to monomials of degree d . Any ...
... unique expression n Σ a a ( 1 ) X ( i ) , ε R. F • where the x ( i ) are the monomials , is homogeneous , or a form , of degree d , if all coefficients d ( i ) are zero except possible those belonging to monomials of degree d . Any ...
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... unique expression n F = Σ a a ( i ) X ( i ) , where the x ( i ) are the monomials , a ( i ) ε R. F d , а ́ ( i ) are zero except possible those F is homogeneous , or a form , of degree if all coefficients belonging to monomials of ...
... unique expression n F = Σ a a ( i ) X ( i ) , where the x ( i ) are the monomials , a ( i ) ε R. F d , а ́ ( i ) are zero except possible those F is homogeneous , or a form , of degree if all coefficients belonging to monomials of ...
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... unique factorization written UFD , domain , can be factored uniquely , up to units and the ordering of the factors , into irreducible elements . if every non - zero element in R If R is a UFD with quotient field K , then any irreducible ...
... unique factorization written UFD , domain , can be factored uniquely , up to units and the ordering of the factors , into irreducible elements . if every non - zero element in R If R is a UFD with quotient field K , then any irreducible ...
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