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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Topology of Algebraic Curves

Topology of Algebraic Curves

Shaker, Hani

Paperback

Geometry

Currently unavailable to order

ISBN10: 3838343921
ISBN13: 9783838343921
Publisher: Lap Lambert Academic Pub
Published: Jun 26 2010
Pages: 60
Weight: 0.22
Height: 0.14 Width: 6.00 Depth: 9.00
Language: English
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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