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arxiv: 1308.6234 · v2 · pith:KHXBARKTnew · submitted 2013-08-28 · 🧮 math.AG

Exterior differential systems via functors of Artin rings

classification 🧮 math.AG
keywords artindifferentialexteriorfunctorsringssystemtheoryapply
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We apply the theory of functors of Artin rings to prove the existence of a universal formal solution to a exterior differential system. We compute the tangent space and the obstruction theory of the funtor of Artin ring governing the solutions of the exterior differential system.

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