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Fourier–Mukai transform on Weierstrass cubics and commuting differential operators

Fourier–Mukai transform on Weierstrass cubics and commuting differential operators

In this paper, we describe the spectral sheaves of algebras of commuting differential operators of genus one and rank two with singular spectral curve, solving a problem posed by Previato and Wilson. We also classify all indecomposable semi-stable sheaves of slope one and ranks two or three on a cuspidal …