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arXiv · 1602.08694

Fourier-Mukai transform on Weierstrass cubics and commuting differential operators

Igor Burban·Alexander Zheglov
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Abstract

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.

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Igor Burban, Alexander Zheglov. 2016-02-28. Fourier-Mukai transform on Weierstrass cubics and commuting differential operators. https://doi.org/10.1142/s0129167x18500647

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