Proves that critical values of the Mishchenko-Fomenko moment map F_a have codimension 1 or 2, identifies singular loci in fibres through a Borel intersection subalgebra, and supplies a recursive formula for the number of irreducible components of the zero fibre.
Representation theory and complex geometry
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On the fibres of Mishchenko-Fomenko systems
Proves that critical values of the Mishchenko-Fomenko moment map F_a have codimension 1 or 2, identifies singular loci in fibres through a Borel intersection subalgebra, and supplies a recursive formula for the number of irreducible components of the zero fibre.