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arxiv: 1201.6310 · v3 · pith:KTHOL52Unew · submitted 2012-01-30 · 🧮 math.AG

Curve selection lemma in infinite dimensional algebraic geometry and arc spaces

classification 🧮 math.AG
keywords curvelemmaselectionalgebraicgeometryspacesapplydimensional
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We prove a Curve Selection Lemma valid in infinite-dimensional algebraic geometry and apply it, together with a structure theorem of Grinberg-Kahzdan and Drinfeld, to obtain a Curve Selection Lemma in arc spaces.

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