Deformations of polynomials and their zeta functions

Details Deformations of polynomials and their zeta functions Deformations of polynomials and their zeta functions

2005-03-22

arxiv.org/abs/math/0503450v1

Mathematics

Algebraic Geometry

9 pages

Scientific paper

For an analytic family P_s of polynomials in n variables (depending on a complex number s, and defined in a neighborhood of s = 0), there is defined a monodromy transformation h of the zero level set V_s= {P_s=0} for s different from 0, small enough. The zeta function of this monodromy transformation is written as an integral with respect to the Euler characteristic of the corresponding local data. This leads to a study of deformations of holomorphic germs and their zeta functions. We show some examples of computations with the use of this technique.

Affiliated with

Also associated with

No associations

Rating

Deformations of polynomials and their zeta functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Deformations of polynomials and their zeta functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Deformations of polynomials and their zeta functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-684438