Curve selection lemma in infinite dimensional algebraic geometry and arc spaces

Javier Fernandez de Bobadilla; Maria Pe Pereira

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arXiv · 1201.6310

Curve selection lemma in infinite dimensional algebraic geometry and arc spaces

Javier Fernandez de Bobadilla·Maria Pe Pereira

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Abstract

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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BibTeX RIS

Javier Fernandez de Bobadilla, Maria Pe Pereira. 2015-01-12. Curve selection lemma in infinite dimensional algebraic geometry and arc spaces. https://arxiv.org/abs/1201.6310

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