{"product_id":"on-the-classification-of-rational-plane-curves-of-type-d-m-von-mohammed-abuelhassan","title":"On the Classification of Rational Plane Curves of Type (d,m)","description":"\u003cp\u003eLet C¿P²=P²(C) be a rational plane curve of degree d and let ¿ denote the maximal multiplicity of the singular points of C. We say that C is of type  (d,¿). Let P¿C be a singular point, and let r_{P} be the number of the branches of C at P. Set ¿(C)=¿_{P¿Sing(C)}(r_{P}-1). We say that C is of  type (d,¿,¿) if C is of type (d,¿) and ¿=¿(C). We classify all rational plane curves of type (d,d-2). We give the complete list of all rational plane curves of type (d,d-2). In particular, we provide an inductive algorithm to construct such curves. Furthermore, we show that any such curve C  is transformable into a line by a Cremona transformation. We also construct some classes of rational plane curves of type (d,d-3,1).\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783844399882\"\u003e\u003ch3\u003eRational Plane Curves of Types (d,d-2) and (d,d-3,1)\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783844399882","offer_id":39497198501981,"sku":"9783844399882","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/12cab84e-dc11-477f-bf45-7165ace2a45a.jpg?v=1757909493","url":"https:\/\/shop.autorenwelt.de\/products\/on-the-classification-of-rational-plane-curves-of-type-d-m-von-mohammed-abuelhassan","provider":"Autorenwelt Shop","version":"1.0","type":"link"}