Algebraic Curves: An Introduction to Algebraic GeometryBenjamin, 1969 - 226 pages |
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Page 38
An Introduction to Algebraic Geometry William Fulton, Richard Weiss. n determine a polynomial map T : A " m A TM , the T are Α T. uniquely determined by T ( See ... algebraic subset of W , algebraic subset of V. 888 38 ALGEBRAIC CURVES.
An Introduction to Algebraic Geometry William Fulton, Richard Weiss. n determine a polynomial map T : A " m A TM , the T are Α T. uniquely determined by T ( See ... algebraic subset of W , algebraic subset of V. 888 38 ALGEBRAIC CURVES.
Page 102
... algebraic subset of sl PN , then s1 ( W ) is an algebraic subset of p " x pm . - i , k = 0 , ... , n ; j , l = 0 , ... , m } ) < pN . n ( c ) Let V = V ( { Tij TM ke - Tie TM kj Show that S ( p1 x pm ) = V. In fact , S ( U¡ x U ̧ ) ...
... algebraic subset of sl PN , then s1 ( W ) is an algebraic subset of p " x pm . - i , k = 0 , ... , n ; j , l = 0 , ... , m } ) < pN . n ( c ) Let V = V ( { Tij TM ke - Tie TM kj Show that S ( p1 x pm ) = V. In fact , S ( U¡ x U ̧ ) ...
Page 132
... subset of a topological space X , the induced topology on Y is defined as follows : a set WCY is open in Y if there is an open subset U of X such that W = YOU . the For any subset Y of a topological space X , closure of Y in X is the ...
... subset of a topological space X , the induced topology on Y is defined as follows : a set WCY is open in Y if there is an open subset U of X such that W = YOU . the For any subset Y of a topological space X , closure of Y in X is the ...
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