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Linear free divisors and Frobenius manifolds

By Ignacio de Gregorio, D. (David) Mond and Christian Sevenheck

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

Topics: QA
Publisher: Cambridge University Press
Year: 2009
OAI identifier: oai:wrap.warwick.ac.uk:2570

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