Книга: Mohammed Abuelhassan «On the Classification of Rational Plane Curves of Type (d,m)»
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Производитель: "LAP Lambert Academic Publishing" Let C?P?=P?(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). ISBN:9783844399882 Издательство: "LAP Lambert Academic Publishing" (2011)
ISBN: 9783844399882 |
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