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A'Campo curvature bumps and the Dirac phenomenon near a singular point
Curve-germs Curvature Newton-Puiseux In nitesimals Dirac phenomenon
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2012/6/19
The level curves of an analytic function germ almost always have bumps at unexpected points near the singularity. This profound discovery of N. A'Campo is fully explored in this paper for $f(z,w)\in \...
On representation of the P-Q pair solution at the singular point neighborhood
the P-Q pair solution singular point
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2010/11/1
The compatible expansion in series of solutions of both the equations of P-Q pair at neighborhood of the singular point is obtained in closed form for regular and irregular singularities. The conserva...