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arxiv: 1305.7288 · v1 · submitted 2013-05-31 · 🧮 math.AG · math.CA

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The Stokes Groupoids

Marco Gualtieri , Songhao Li , Brent Pym
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classification 🧮 math.AG math.CA
keywords equationsgroupoidssolutionscomplexconsequenceconstructcurvesdefinition
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We construct and describe a family of groupoids over complex curves which serve as the universal domains of definition for solutions to linear ordinary differential equations with singularities. As a consequence, we obtain a direct, functorial method for resumming formal solutions to such equations.

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