Corpus ID: 119610422

Point configurations, Cremona transformations and the elliptic difference Painlev\'e equation

@inproceedings{KKajiwara2004PointCC,
  title={Point configurations, Cremona transformations and the elliptic difference Painlev\'e equation},
  author={K.Kajiwara and T.Masuda and M.Noumi and Y.Ohta and Y.Yamada},
  year={2004}
}
A theoretical foundation for a generalization of the elliptic difference Painlev\'e equation to higher dimensions is provided in the framework of birational Weyl group action on the space of point configurations in general position in a projective space. By introducing an elliptic parametrization of point configurations, a realization of the Weyl group is proposed as a group of Cremona transformations containing elliptic functions in the coefficients. For this elliptic Cremona system, a theory… Expand