Department of Mathematics Colloquium


Abstract 

The polynomials y^2 ‐ x, y^2 ‐ x^3, y^2 ‐
x^2(x+1), and y^3 ‐ (x^2 + y^2)^2 + 3x^2y all define plane curves. Of
these, the last three are singular at (0,0). Is one 'more singular'
than another? In this talk we discuss some classic techniques of
assigning a numerical measure to singularities and how those measures
behave under reduction to positive characteristic.
