Some examples of non-massive Frobenius manifolds in Singularity Theory

Details Some examples of non-massive Frobenius manifolds in Singularity Theory Some examples of non-massive Frobenius manifolds in Singularity Theory

2006-10-11

arxiv.org/abs/math/0610362v2

Mathematics

Algebraic Geometry

11 pages

Scientific paper

10.1016/j.geomphys.2007.03.003

Let $f,g:\cc^2\ra\cc$ be two quasi-homogeneous polynomials. We compute the $V$-filtration of the restriction of $f$ to any plane curve $C_t=g^{-1}(t)$ and show that the Gorenstein generator $dx\wedge dy/dg$ is a primitive form. Using results of A. Douai and C. Sabbah, we conclude that base space of the miniversal unfolding of $f_t:=f|_{C_t}$ is a Frobenius manifold. At the singular fibre $C_0$ we obtain a non-massive Frobenius manifold.

Affiliated with

Also associated with

No associations

Rating

Some examples of non-massive Frobenius manifolds in Singularity Theory 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 Some examples of non-massive Frobenius manifolds in Singularity Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some examples of non-massive Frobenius manifolds in Singularity Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-579184