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arXiv · 2301.00128

Curve selection lemma in arc spaces

Nguyen Hong Duc
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Abstract

We first generalize a curve selection lemma for Noetherian schemes and apply it to prove a version of Curve Selection Lemma in arc spaces, answering affirmatively a question by Reguera. Furthermore, thanks to a structure theorem of Grinberg, Kazhdan and Drinfeld, we obtain other versions of Curve Selection Lemma in arc spaces.

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Nguyen Hong Duc. 2022-12-31. Curve selection lemma in arc spaces. https://arxiv.org/abs/2301.00128

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