4 papers · 1 filter
Formal Derived Algebraic Geometry
Chang-Yeon Chough
We develop some foundations for the theory of formal derived algebraic geometry, which parallel the theory of formal spectral algebraic geometry by Jacob Lurie. For this, we establ…
Spectral Excision and Descent for Almost Perfect Complexes
Chang-Yeon Chough
We show that almost perfect complexes of commutative ring spectra satisfy excision and -descent. These results generalize Milnor excision for perfect complexes of ordinary commu…
Twisted Equivalences in Spectral Algebraic Geometry
Chang-Yeon Chough
We study twisted derived equivalences for schemes in the setting of spectral algebraic geometry. To this end, we introduce the notion of a twisted equivalence and show that a twist…
Brauer Spaces of Spectral Algebraic Stacks
Chang-Yeon Chough
We study the question of whether the Brauer group is isomorphic to the cohomological one in spectral algebraic geometry. For this, we prove the compact generation of the derived ca…