Linear free divisors and Frobenius manifolds
Algebraic Geometry
2019-02-20 v4
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.
Keywords
Cite
@article{arxiv.0802.4188,
title = {Linear free divisors and Frobenius manifolds},
author = {Ignacio de Gregorio and David Mond and Christian Sevenheck},
journal= {arXiv preprint arXiv:0802.4188},
year = {2019}
}
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37 pages