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The Morel–Voevodsky localization theorem in spectral algebraic geometry

Khan, Adeel



Abstract

We prove an analogue of the Morel-Voevodsky localization theorem over spectral algebraic spaces. As a corollary we deduce a "derived nilpotent-invariance" result which, informally speaking, says that A(1)-homotopy-invariance kills all higher homotopy groups of a connective commutative ring spectrum.


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