107 citations · 692 across the 31 of their papers we have counts for
32 papers
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…
Functorial flatification of proper morphisms
David Rydh
For proper morphisms, we give a functorial flatification algorithm by blow-ups in the spirit of Hironaka's flatification algorithm. In characteristic zero, this gives functorial fl…
Absolute noetherian approximation of algebraic stacks
David Rydh
We show that every quasi-compact and quasi-separated algebraic stack can be approximated by a noetherian algebraic stack. We give several applications such as eliminating noetheria…
Stabilizer Reduction for Derived Stacks and Applications to Sheaf-Theoretic Invariants
Jeroen Hekking, David Rydh, Michail Savvas
We construct a canonical stabilizer reduction for any derived -algebraic stack over as a sequence of derived Kirwan blow-ups, under mild natural…
Artin algebraization for pairs with applications to the local structure of stacks and Ferrand pushouts
Jarod Alper, Daniel Halpern-Leistner, Jack Hall +1
We give a variant of Artin algebraization along closed subschemes and closed substacks. Our main application is the existence of étale, smooth, or syntomic neighborhoods of closed…
A generalization of Luna's fundamental lemma for stacks with good moduli spaces
David Rydh
We generalize Luna's fundamental lemma to smooth morphisms between stacks with good moduli spaces. We also give a precise condition for when it holds for non-smooth morphisms and v…