Linear free divisors and Frobenius manifolds

被引：16
|
作者：
de Gregorio, Ignacio [1 ]
Mond, David [1 ]
Sevenheck, Christian [2 ]
机构：
[1] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England
[2] Univ Mannheim, Lehrstuhl Math 6, D-68131 Mannheim, Germany
来源：
COMPOSITIO MATHEMATICA | 2009年 / 145卷 / 05期
基金：
英国工程与自然科学研究理事会;
关键词：
linear free divisors; prehomogenous vector spaces; quiver representations; Gauss-Manin system; Brieskorn lattice; Birkhoff problem; spectral numbers; Frobenius manifolds; QUANTUM COHOMOLOGY;
D O I：
10.1112/S0010437X09004217
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study linear functions on fibrations whose central fibre is a linear free divisor. We analyse the GauB-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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页码：1305 / 1350
页数：46
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