Algebraic Geometry Seminar
Gary Kennedy
Ohio State
Monodromy of quasi-ordinary singularities
Abstract: A quasi-ordinary surface f(x,y)=0 is one for which, at each singular
point, there is a theory of Puiseux expansion as for plane curves.
Taking a transverse slice with x=constant, one obtains a singular
plane curve. Its Milnor fiber f(x,y)=e has two sorts of monodromy:
(1) the Milnor monodromy (also called its horizontal monodromy), in
which x is fixed while e varies around a small circle, (2) the
vertical monodromy, in which e is fixed while x varies. In joint work
with my colleague Lee McEwan, we have discovered simple recursive
formulas for both monodromies.
Thursday February 28, 2008 at 4:00 PM in SEO 636