Zobrazeno 1 - 10
of 95
pro vyhledávání: '"Rydh, David"'
Autor:
Rydh, David
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 noetherian hypotheses in the theory of good moduli spaces.
Comment: 16 pag
Comment: 16 pag
Externí odkaz:
http://arxiv.org/abs/2311.09208
Autor:
Hall, Jack, Rydh, David
We develop a theory of unbounded derived categories of quasi-coherent sheaves on algebraic stacks. In particular, we show that these categories are compactly generated by perfect complexes for stacks that either have finite stabilizers or are local q
Externí odkaz:
http://hdl.handle.net/10150/626173
http://arizona.openrepository.com/arizona/handle/10150/626173
http://arizona.openrepository.com/arizona/handle/10150/626173
We construct a canonical stabilizer reduction $\widetilde{X}$ for any derived $1$-algebraic stack $X$ over $\mathbb{C}$ as a sequence of derived Kirwan blow-ups, under mild natural conditions that include the existence of a good moduli space for the
Externí odkaz:
http://arxiv.org/abs/2209.15039
We give a variant of Artin algebraization along closed subschemes and closed substacks. Our main application is the existence of \'etale, smooth, or syntomic neighborhoods of closed subschemes and closed substacks. In particular, we prove local struc
Externí odkaz:
http://arxiv.org/abs/2205.08623
Autor:
Rydh, David
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 versions for coherent sheaves and complexes. This generalizes earlier r
Externí odkaz:
http://arxiv.org/abs/2008.11118
We prove that an algebraic stack with affine stabilizers over an arbitrary (possibly mixed-characteristic) base is \'etale locally a quotient stack around any point with a linearly reductive stabilizer. This generalizes earlier work by the authors (s
Externí odkaz:
http://arxiv.org/abs/1912.06162
Autor:
Bergh, Daniel, Rydh, David
Let X be a smooth and tame stack with finite inertia. We prove that there is a functorial sequence of blow-ups with smooth centers after which the stabilizers of X become abelian. Using this result, we can extend the destackification results of the f
Externí odkaz:
http://arxiv.org/abs/1905.00872
Autor:
Khan, Adeel A., Rydh, David
We prove a universal property for blow-ups in regularly immersed subschemes, based on a notion we call "virtual effective Cartier divisor". We also construct blow-ups of quasi-smooth closed immersions in derived algebraic geometry.
Comment: 19 p
Comment: 19 p
Externí odkaz:
http://arxiv.org/abs/1802.05702
Autor:
Hall, Jack, Rydh, David
Publikováno v:
J. Algebra 498 (2018), 398-412
Using Nisnevich coverings and a Hilbert stack of stacky points, we prove \'etale d\'evissage results for non-representable \'etale and quasi-finite flat coverings. We give applications to absolute noetherian approximation of algebraic stacks and comp
Externí odkaz:
http://arxiv.org/abs/1712.07976
Autor:
Edidin, Dan, Rydh, David
We present a complete generalization of Kirwan's partial desingularization theorem on quotients of smooth varieties. Precisely, we prove that if $\mathcal{X}$ is an irreducible Artin stack with stable good moduli space $\mathcal{X} \to X$, then there
Externí odkaz:
http://arxiv.org/abs/1710.03220