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Fourier–Mukai transform on Weierstrass cubics and commuting differential operators

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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… Click to show full 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.

Keywords: mukai transform; weierstrass cubics; commuting differential; differential operators; transform weierstrass; fourier mukai

Journal Title: International Journal of Mathematics
Year Published: 2018

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