On deformation of curves and a formula of deligne
1982; Springer Nature; Linguagem: Inglês
10.1007/bfb0071281
ISSN1617-9692
Autores Tópico(s)Homotopy and Cohomology in Algebraic Topology
ResumoWe study deformations of germs of reduced complex curve singularities and of singular projective curves in some Pn(ℂ). In both cases a deformation is topologically trivial iff the Milnor numbers of the singularities are constant during the deformation. The Milnor number also occurs naturally in the degree of the singular Todd class of Baum-Fulton-MacPherson and in a formula of Deligne concerning the dimension of the base space of the semiuniversal deformation. Some applications of this fact are given in particular to the non-smooth-ability of certain curves.
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