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We study the topology of the isospectral real manifold of the $$sl(N)$$ periodic Toda lattice consisting of 2N−1 different systems. The solutions of these systems contain blow-ups, and the set of these singular points defines a divisor of the manifold. With the divisor added, the manifold is compactified as the real part of the (N−1)-dimensional Jacobi variety associated with a hyperelliptic...
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