Fourier-Mukai transform on Weierstrass cubics and commuting differential operators
MFO Scientific ProgramResearch in Pairs 2015
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In this article, 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 Weierstraß cubic.