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Anglický jazyk
On the Classification of Rational Plane Curves of Type (d,m)
Autor: Mohammed Abuelhassan
Let 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).... Viac o knihe
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O knihe
Let 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).
- Vydavateľstvo: LAP LAMBERT Academic Publishing
- Rok vydania: 2011
- Formát: Paperback
- Rozmer: 220 x 150 mm
- Jazyk: Anglický jazyk
- ISBN: 9783844399882
