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Book Topology of Algebraic Curves: and Factorization of Polynomials

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Topology of Algebraic Curves: and Factorization of Polynomials

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    Available in PDF - DJVU Format | Topology of Algebraic Curves: and Factorization of Polynomials.pdf | Language: ENGLISH
    Hani Shaker (Author)

    Book details


Let C be the plane algebraic curve defined by the polynomial P in two variables with complex coefficients. The first question under investigations is, Is there some relation between the reducibility of P and number of singularities of the the plane curve C:P(x,y)=0. The answer to this question, we use topological and algebraic properties of the plane curves. The second question is, How many irreducible components the plane curve C:P(x,y)=0 has? The answer to this question is directly related to the study of the topology of the complement of C in the complex plane by using de Rham cohomology. The main problem is to extend this result for more variables and to obtain other related results on algebraic affine hypersurfaces.
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Book details

  • PDF | 60 pages
  • Hani Shaker (Author)
  • LAP Lambert Academic Publishing (26 Feb. 2010)
  • English
  • 7
  • Science Nature

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