On base change theorem and coherence in rigid cohomology.
Tsuzuki, Nobuo (2003)
Documenta Mathematica
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On base change theorem and coherence in rigid cohomology.
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We construct a certain algebro-geometric version of the free loop space for a complex algebraic variety X. This is an ind-scheme containing the scheme of formal arcs in X as studied by Kontsevich and Denef-Loeser. We describe the chiral de Rham complex of Malikov, Schechtman and Vaintrob in terms of the space of formal distributions on supported in . We also show that possesses a factorization structure: a certain non-linear version of a vertex algebra structure. This explains...