Vertex algebras and the formal loop space

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We introduce an algebro-geometric version of the free loop space for any scheme X of finite type. This is an ind-scheme of ind-infinite type containing the scheme of formal germs of curves on X. Then, we give a direct geometric construction, for smooth X, of the chiral de Rham complex of X (introduced by Malikov, Schechtman and Vaintrob).
AMS-TeX, 61 pages

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/61874

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0107143
 http://arxiv.org/abs/math/0107143

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arXiv