Geometry of Plane Curves via Toroidal Resolution

Abstract

Let C = f(x,y) = 0 be a germ of a reduced plane curve. As examples of the basic invariants of a plane curve, we have the Milnor number, the number of irreducible components, the resolution complexity, the Puiseux pairs of the irreducible components and their intersection multiplicities. In fact, the Puiseux pairs of the irreducible components and their intersection multiplicities are enough to describe the embedding topological type of C (see [17], [9]).KeywordsIrreducible ComponentPlane CurveExceptional DivisorPlane CurfCharacteristic PowerThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.