The word "adjoint" refers to several definitions which are not all equivalent (see, for example, Greco and Valabrega 1979, 1982): we shall deal with any of them. The aim of this work is to provide an algorithm which, given two plane curves D, H, allows one to decide whether H is adjoint to D. With a slight modification to the main procedure, we shall be able to deal with special adjoints (Greco and Valabrega 1979, 1982) and true adjoints (Oneto 1979)
A computational approach to the theory of adjoints / M. Ceria. - In: ATTI DELLA ACCADEMIA PELORITANA DEI PERICOLANTI, CLASSE DI SCIENZE FISICHE, MATEMATICHE E NATURALI. - ISSN 1825-1242. - 94:2(2016), pp. A7.1-A7.14. [10.1478/AAPP.942A7]
A computational approach to the theory of adjoints
M. Ceria
2016
Abstract
The word "adjoint" refers to several definitions which are not all equivalent (see, for example, Greco and Valabrega 1979, 1982): we shall deal with any of them. The aim of this work is to provide an algorithm which, given two plane curves D, H, allows one to decide whether H is adjoint to D. With a slight modification to the main procedure, we shall be able to deal with special adjoints (Greco and Valabrega 1979, 1982) and true adjoints (Oneto 1979)
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