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Linear free divisors and Frobenius manifolds
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Gregorio, Ignacio de, Mond, D. (David) and Sevenheck, Christian. (2009) Linear free divisors and Frobenius manifolds. Compositio Mathematica, Vol.145 (No.5). pp. 1305-1350. ISSN 0010-437X
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Official URL: http://dx.doi.org/10.1112/S0010437X09004217
Abstract
We study linear functions on fibrations whose central fibre is a linear free divisor. We analyse the Gauß–Manin system associated to these functions, and prove the existence of a primitive and homogenous form. As a consequence, we show that the base space of the semi-universal unfolding of such a function carries a Frobenius manifold structure.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Library of Congress Subject Headings (LCSH): | Partially ordered sets -- Research, Monodromy groups, Deformations of singularities, Frobenius manifolds |
| Journal or Publication Title: | Compositio Mathematica |
| Publisher: | Cambridge University Press |
| ISSN: | 0010-437X |
| Date: | September 2009 |
| Volume: | Vol.145 |
| Number: | No.5 |
| Number of Pages: | 46 |
| Page Range: | pp. 1305-1350 |
| Identification Number: | 10.1112/S0010437X09004217 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
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| URI: | http://wrap.warwick.ac.uk/id/eprint/2570 |
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