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The logarithmic cotangent complex

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Abstract

We define the cotangent complex of a morphism of fine log schemes, prove that it is functorial, and construct under certain restrictions a transitivity triangle. We also discuss its relationship with deformation theory.

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  1. School of Mathematics, Institute for Advanced Study, Einstein Drive, Princeton, NJ, 08540, USA

    Martin C. Olsson

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  1. Martin C. Olsson
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Correspondence to Martin C. Olsson.

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Olsson, M. The logarithmic cotangent complex. Math. Ann. 333, 859–931 (2005). https://doi.org/10.1007/s00208-005-0707-6

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  • DOI: https://doi.org/10.1007/s00208-005-0707-6

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