10 citations · 12 across the 4 of their papers we have counts for
9 papers · 1 filter
Conformal blocks revisited
Eduard Looijenga
We give a simple coordinate free description of the WZW connection and derive its main properties.
Invariants of quartic plane curves as automorphic forms
Eduard Looijenga
We identify the algebra of regular functions on the space of quartic polynomials in three complex variables invariant under SL(3,C) with an algebra of meromorphic automorphic forms…
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…
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…
Compactifications defined by arrangements II: locally symmetric varieties of type IV
Eduard Looijenga
We define a new class of completions of locally symmetric varieties of type IV which interpolates between the Baily-Borel compactification and Mumford's toric compactifications. An…
Compactifications defined by arrangements I: the ball quotient case
Eduard Looijenga
We define a natural compactification of an arrangement complement in a ball quotient. We show that when this complement has a moduli space interpretation, then this compactificatio…