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. doi:10.1112/S0010437X09004217 ISSN 0010-437X.

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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, Engineering and Medicine > 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
Official Date:	September 2009
Dates:	Date Event September 2009 Published
Volume:	Vol.145
Number:	No.5
Number of Pages:	46
Page Range:	pp. 1305-1350
DOI:	10.1112/S0010437X09004217
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access

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