Geometry of Plane Curves via Toroidal Resolution

Conference paper
Part of the Progress in Mathematics book series (PM, volume 134)


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]).


Irreducible Component Plane Curve Exceptional Divisor Plane Curf Characteristic Power 
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Copyright information

© Birkhäuser Verlag Basel/Switzerland 1996

Authors and Affiliations

  1. 1.Department of MathematicsTokyo Institute of TechnologyMeguro-ku, TokyoJapan

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