Tangent Lie algebra of derived Artin stacks
نویسنده
چکیده
Since the work of Mikhail Kapranov in [Kap], it is known that the shifted tangent complex TX r ́1s of a smooth algebraic variety X is endowed with a weak Lie structure. Moreover any complex of quasi-coherent sheaves on X is endowed with a weak Lie action of this tangent Lie algebra. We will generalize this result to (finite enough) derived Artin stacks, without any smoothness assumption. This in particular applies to singular schemes. This work uses tools of both derived algebraic geometry and 8-category theory.
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تاریخ انتشار 2015