English

Frobenius manifolds for elliptic root systems

Algebraic Geometry 2007-06-26 v3 Differential Geometry

Abstract

In this paper, we show that the quotient space of the domain by the reflection group for an elliptic root system has a structure of Frobenius manifold for the case of codimension 1. We also give a characterization of this Frobenius manifold structure under some suitable condition.

Keywords

Cite

@article{arxiv.math/0611553,
  title  = {Frobenius manifolds for elliptic root systems},
  author = {Ikuo Satake},
  journal= {arXiv preprint arXiv:math/0611553},
  year   = {2007}
}

Comments

23 pages: we simplify a proof of the uniqueness theorem