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math.AC2012★ 29 cited
Isomonodromic differential equations and differential categories
Sergey Gorchinskiy, Alexey Ovchinnikov
We study isomonodromicity of systems of parameterized linear differential equations and related conjugacy properties of linear differential algebraic groups by means of differentia…
math.AC2011★ 54 cited
Parameterized Picard-Vessiot extensions and Atiyah extensions
Henri Gillet, Sergey Gorchinskiy, Alexey Ovchinnikov
Generalizing Atiyah extensions, we introduce and study differential abelian tensor categories over differential rings. By a differential ring, we mean a commutative ring with an ac…