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math.AG2025
A note on ideals in derived geometries
Zachary Gardner, Jeroen Hekking
We develop the basic theory of derived quasi-coherent ideals for stacks relative to a given derived algebraic context. We compare different notions of adic completeness with respec…
math.AG2025
Deformation to the normal bundle and blow-ups via derived Weil restrictions
Jeroen Hekking, Adeel A. Khan, David Rydh
We develop an analogue of the deformation to the normal cone in the context of derived algebraic geometry. This provides any given morphism of derived stacks with a degeneration to…