Calogero-Moser spaces and the invariants of two matrices of degree 3
Abstract
We find a minimal set of generators for the coordinate ring of Calogero-Moser space C3 and the algebraic relations among them explicitly. We give a new presentation for the algebra of 3×3 invariant matrices involving the defining relations of C[C3]. We find an explicit description of the commuting variety of 3×3 matrices and its orbits under the action of the affine Cremona group.
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