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A fast algorithm for curve singularities

Published online by Cambridge University Press:  17 April 2009

Sheng-Ming Ma
Sheng-Ming Ma
Affiliation:
Department of Mathematics, School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, Peoples Republic of China
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We demonstrate fast algorithm to resolve local singularities of algebraic curves. The algorithm is based on the monomial transform and is independent of any other coordinate change. Two new invariants are introduced to gauge the singularities and sharply control the number of algorithmic steps. Our algorithm is applicable to both real and complex domains.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 69 , Issue 3 , June 2004 , pp. 403 - 414
Copyright
Copyright © Australian Mathematical Society 2004

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