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On Fuchs' relation for linear differential systems
Published online by Cambridge University Press: 04 December 2007
Abstract
In this paper, we give a formal algebraic notion of exponents for linear differential systems at any singularity as eigenvalues of the residue of a regular connection on a maximal lattice (that we call ‘Levelt's lattice’). This allows us to establish upper and lower bounds for the sum of these exponents for differential systems on ${\mathbb P}^{1}(\mathbb{C})$.
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- Foundation Compositio Mathematica 2004
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