|| Checking for direct PDF access through Ovid
Let an algebraic curve f have a singular point of type Aμ or Dfμ. Let ∼f be the curve obtained by smoothing the singular point of f. In this paper, local maximal meanders appearing under an M-smoothing in a neighborhood of the singular point are studied. A local maximal meander means that the number of real points of the intersection of ∼f with a coordinate axis in the neighborhood is maximal and the points belong to one of the components of ∼f. An M-smoothing means that the number of components of ∼f which appear in the neighborhood under the smoothing is also maximal. Bibliography: 9 titles.