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Some examples of non-massive Frobenius manifolds in singularity theory
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de Gregorio, Ignacio (2007) Some examples of non-massive Frobenius manifolds in singularity theory. Journal of Geometry and Physics, Vol.57 (No.9). pp. 1829-1841. doi:10.1016/j.geomphys.2007.03.003 ISSN 0393-0440.
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Official URL: http://dx.doi.org/10.1016/j.geomphys.2007.03.003
Abstract
Let f, g : C-2 -> C 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 boolean AND dy/dg is a primitive form. Using results of A. Douai and C. Sabbah, we conclude that the 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. (c) 2007 Elsevier B.V. All rights reserved.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Journal of Geometry and Physics | ||||
| Publisher: | Elsevier Science BV | ||||
| ISSN: | 0393-0440 | ||||
| Official Date: | August 2007 | ||||
| Dates: |
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| Volume: | Vol.57 | ||||
| Number: | No.9 | ||||
| Number of Pages: | 13 | ||||
| Page Range: | pp. 1829-1841 | ||||
| DOI: | 10.1016/j.geomphys.2007.03.003 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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