SMS scnews item created by Laurentiu Paunescu at Tue 4 Aug 2009 1423
Type: Seminar
Modified: Tue 11 Aug 2009 1159
Distribution: World
Expiry: 26 Aug 2009
Calendar1: 12 Aug 2009 1100-1200
CalLoc1: Carslaw 707A
Calendar2: 19 Aug 2009 1100-1200
CalLoc2: Carslaw 707A
Calendar3: 26 Aug 2009 1100-1300
CalLoc3: Carslaw 707A

Geometry: Adam Parusinski -- Geometry

Newton polygon relative to an arc

We give an elementary introduction to the singularity theory
of complex polynomials of two variables.
Let P(x,y) be such a polynomial, P(0,0)=0.  Newton showed how to
find the solutions y(x) of the equation P(x,y(x)) = 0, using the (Newton)
polygon method.  We generalize  this construction to study
the polar curves, Lojasiewicz exponents, singularities at infinity, and
equi-singular deformations.
(707A, August, Wednesday 12, 19, 11-12, and Wednesday 26, 11-13)

These lectures are mainly designed for students.

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