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math.AT2017★ 5 cited
A^1-homotopy invariance in spectral algebraic geometry
Denis-Charles Cisinski, Adeel A. Khan
We study two different flavours of A^1-homotopy theory in the setting of spectral algebraic geometry, and compare them to classical A^1-homotopy theory. As an application we show t…
math.AT2016★ 14 cited
The Morel-Voevodsky localization theorem in spectral algebraic geometry
Adeel A. Khan
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…