Fourier–Mukai transform on Weierstrass cubics and commuting differential operators

Igor Burban, Alexander Zheglov

Type: Article

Publication Date: 2018-07-20

Citations: 8

DOI: https://doi.org/10.1142/s0129167x18500647

Abstract

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 Weierstraß cubic.

Locations

International Journal of Mathematics - View
arXiv (Cornell University) - View - PDF

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