2134/19974 Leonardo Aguirre Leonardo Aguirre G. Felder G. Felder Alexander Veselov Alexander Veselov Gaudin subalgebras and wonderful models Loughborough University 2016 untagged Mathematical Sciences not elsewhere classified 2016-01-08 10:10:27 Journal contribution https://repository.lboro.ac.uk/articles/journal_contribution/Gaudin_subalgebras_and_wonderful_models/9387587 Gaudin Hamiltonians form families of r-dimensional abelian Lie subalgebras of the holonomy Lie algebra of the arrangement of reflection hyperplanes of a Coxeter group of rank r. We consider the set of principal Gaudin subalgebras, which is the closure in the appropriate Grassmannian of the set of spans of Gaudin Hamiltonians. We show that principal Gaudin subalgebras form a smooth projective variety isomorphic to the De Concini–Procesi compactification of the projectivized complement of the arrangement of reflection hyperplanes.