Some examples related to the Deligne-Simpson problem

Vladimir Petrov Kostov

Some examples related to the Deligne-Simpson problem

代数几何 2007-05-23 v1

作者: Vladimir Petrov Kostov

摘要

We consider the variety of $(p+1)$ -tuples of matrices $M_j$ from given conjugacy classes from $GL(n,{\bf C})$ such that $M_1... M_{p+1}=I$ . This variety is connected with the Deligne-Simpson problem and the matrices $M_j$ are interpreted as monodromy operators of regular systems on Riemann's sphere. We consider among others cases when the dimension of the variety is higher than the expected one due to the presence of $(p+1)$ -tuples with non-trivial centralizers.

关键词

hadamard matrices operator theory painlevé equations

引用

@article{arxiv.math/0011015,
  title  = {Some examples related to the Deligne-Simpson problem},
  author = {Vladimir Petrov Kostov},
  journal= {arXiv preprint arXiv:math/0011015},
  year   = {2007}
}

备注

To appear in the proceedings of the Second International Confer ence on Geometry, Integrability and Quantization

Some examples related to the Deligne-Simpson problem

摘要

关键词

引用

备注

相关论文