Fourier-Mukai transform on Weierstrass cubics and commuting differential operators
Algebraic Geometry
2023-10-02 v3
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.
Cite
@article{arxiv.1602.08694,
title = {Fourier-Mukai transform on Weierstrass cubics and commuting differential operators},
author = {Igor Burban and Alexander Zheglov},
journal= {arXiv preprint arXiv:1602.08694},
year = {2023}
}