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algebraic curve

   Also found in: Dictionary/thesaurus, Wikipedia 0.01 sec.
algebraic curve [¦al·jə¦brā·ik ′kərv]
(mathematics)
The set of points in the plane satisfying a polynomial equation in two variables.
More generally, the set of points inn-space satisfying a polynomial equation innvariables.


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Audin includes exercises and two appendices, the first on what one needs to know about differential Galois theory and algebraic curves, making this a suitable candidate for self-study as well as a classroom text.
His success depended on finding connections between number theory and algebraic curves.
139 QA268 This graduate textbook introduces the theory of error-correcting codes, working over an arbitrary finite field; algebraic curves, working over an algebraically closed field; geometry over a finite field; and constructions of algebraic geometry codes.
 
 
 
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