Seminar of Algebra

Let F be a homogeneous polynomial over a field of characteristic p>0 with an isolated singularity, and let X be (the compactification of) its fiber away from the origin. We show that there is a connection between the p-integral F-jumping numbers of F and the monodromy eigenvalues on the slope zero part of the crystalline cohomology of X. This is joint work in progress with Hiroki Kato and Daichi Takeuchi.