3 papers
math.AG2004
On the geometry of the Calogero-Moser system
Wim Couwenberg, Gert Heckman, Eduard Looijenga
We discuss a special eigenstate of the quantized periodic Calogero-Moser system associated to a root system. This state has the property that its eigenfunctions, when regarded as m…
math.AG2003
Geometric structures on the complement of a projective arrangement
Wim Couwenberg, Gert Heckman, Eduard Looijenga
Consider a complex projective space with its Fubini-Study metric. We study certain one parameter deformations of this metric on the complement of an arrangement (=a finite union of…
math.AG2000
The moduli space of rational elliptic surfaces
Gert Heckman, Eduard Looijenga
We show that the moduli space of rational elliptic surfaces admitting a section is locally a complex hyperbolic variety of dimension eight. We compare its Satake-Baily-Borel compac…