Transformation d'halphen
作者:
Josse Alfrederic,
期刊:
Communications in Algebra
(Taylor Available online 1995)
卷期:
Volume 23,
issue 12
页码: 4343-4364
ISSN:0092-7872
年代: 1995
DOI:10.1080/00927879508825468
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
We give a modern version of the following result of Halphen: “degrees and classes of successive evolutes of a plane algebraic curve form two arithmetic progressions of the same ratio after a sufficient number of iterations”. The iteration of this transform provides adesingularisationprocess (branch by branch) of plane curves, different to the Nash transform and the Noether process. To prove these two points,we introduce systematically Puiseux's exponents, semi-groups of exponents and use elimination and duality formulae.
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