{"product_id":"topology-of-algebraic-curves-von-hani-shaker","title":"Topology of Algebraic Curves","description":"\u003cp\u003eLet 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.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783838343921\"\u003e\u003ch3\u003eand Factorization of Polynomials\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783838343921","offer_id":39498989273181,"sku":"9783838343921","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/16b2997b-da63-45e4-9f41-5a9fef839e4d.jpg?v=1769841233","url":"https:\/\/shop.autorenwelt.de\/products\/topology-of-algebraic-curves-von-hani-shaker","provider":"Autorenwelt Shop","version":"1.0","type":"link"}