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.

引用

页码：1305 / 1350

页数：46

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