Linear free divisors and Frobenius manifolds

Details Linear free divisors and Frobenius manifolds Linear free divisors and Frobenius manifolds

2008-02-28

arxiv.org/abs/0802.4188v4

Mathematics

Algebraic Geometry

37 pages

Scientific paper

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.

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