The Liouvillian spectral set is a locally finite union of algebraic varieties of codimension at most n, and quasi-solvable Schrödinger potentials have at most d+1 Liouvillian energy values.
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Liouvillian solutions for second order linear differential equations with polynomial coefficients
The Liouvillian spectral set is a locally finite union of algebraic varieties of codimension at most n, and quasi-solvable Schrödinger potentials have at most d+1 Liouvillian energy values.