Browsing by Author "Zheglov, Alexander"
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- ItemCommuting differential operators and higher-dimensional algebraic varieties(Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2012) Kurke, Herbert; Osipov, Denis; Zheglov, AlexanderSeveral algebro-geometric properties of commutative rings of partial differentiall operators as well as several geometric constructions are investigated.
- ItemFormal punctured ribbons and two-dimensional local fields(Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2008) Kurke, Herbert; Osipov, Denis; Zheglov, AlexanderWe investigate formal ribbons on curves. Roughly speaking, formal ribbon is a family of locally linearly compact vector spaces on a curve. We establish a one-toone correspondence between formal ribbons on curves plus some geometric data and some subspaces of two-dimensional local field.
- ItemFourier-Mukai transform on Weierstrass cubics and commuting cifferential operators(Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2016) Burban, Igor; Zheglov, AlexanderIn 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.