Twisted algebroid curves

Campillo, Antonio

doi:10.1007/BFB0090828

Twisted algebroid curves

Campillo, Antonio

Libro:

Lecture Notes in Mathematics

ISSN: 0075-8434, 1617-9692

ISBN: 9783540100225, 9783540381785

Año de publicación: 1980

Páginas: 141-163

Tipo: Capítulo de Libro

DOI: 10.1007/BFB0090828 GOOGLE SCHOLAR Acceso abierto editor

Objetivos de desarrollo sostenible

Resumen

This chapter treats, essentially, the problem of classifying singularities of irreducible twisted algebroid curves over an algebraically closed field. Three definitions of equisingularity, which coincide for plane curves with the (a)-equisingularity, are given.The first one classifies singularities by means of equiresolution of the generic plane projections, the second one by equiresolution using space quadratic transformations, and the third one by the semigroup of values. However, we shall prove that in general they are different. On the other hand, none of them may be considered as a better definition than the other ones.