Zobrazeno 1 - 10
of 22
pro vyhledávání: '"David Rydh"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 12 (2024)
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 subschemes and closed substacks. In particular, we prove local structu
Externí odkaz:
https://doaj.org/article/016266057c9f46168671269870a2f1fe
Autor:
Dan Edidin, David Rydh
Publikováno v:
Duke Mathematical Journal. 170
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df90fc07dff72f87640badacc911da39
https://doi.org/10.1215/00127094-2020-0050
https://doi.org/10.1215/00127094-2020-0050
Publikováno v:
Annals of Mathematics. 191
We prove that every algebraic stack, locally of finite type over an algebraically closed field with affine stabilizers, is \'etale-locally a quotient stack in a neighborhood of a point with a linearly reductive stabilizer group. The proof uses an equ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e29fcd0cfc568d9def434eebf95bd794
https://doi.org/10.4007/annals.2020.191.3.1
https://doi.org/10.4007/annals.2020.191.3.1
Autor:
David Rydh, Jack Hall
Publikováno v:
Journal of Algebra. 498:398-412
Using Nisnevich coverings and a Hilbert stack of stacky points, we prove etale devissage results for non-representable etale and quasi-finite flat coverings. We give applications to absolute noetherian approximation of algebraic stacks and compact ge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::def43d28a6336bdd66a60cd826c6eda3
https://doi.org/10.1016/j.jalgebra.2017.11.027
https://doi.org/10.1016/j.jalgebra.2017.11.027
Publikováno v:
Documenta Mathematica
Documenta Mathematica, Universität Bielefeld, 2018, 23, pp.1157-1196. ⟨10.25537/dm.2018v23.1157-1196⟩
Scopus-Elsevier
Documenta Mathematica, 2018, 23, pp.1157-1196. ⟨10.25537/dm.2018v23.1157-1196⟩
Documenta Mathematica, Universität Bielefeld, 2018, 23, pp.1157-1196. ⟨10.25537/dm.2018v23.1157-1196⟩
Scopus-Elsevier
Documenta Mathematica, 2018, 23, pp.1157-1196. ⟨10.25537/dm.2018v23.1157-1196⟩
Grothendieck proved that any finite epimorphism of noetherian schemes factors into a finite sequence of effective epimorphisms. We define the complexity of a flat groupoid $R\rightrightarrows X$ with finite stabilizer to be the length of the canonica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::496e8c31ab6994aa9bce0d3c2c0218be
https://hal.archives-ouvertes.fr/hal-01358738
https://hal.archives-ouvertes.fr/hal-01358738
Autor:
Jack Hall, David Rydh
Using Balmer--Favi's generalized idempotents, we establish the telescope conjecture for many algebraic stacks. Along the way, we classify the thick tensor ideals of perfect complexes of stacks.
Comment: 20 pages
Comment: 20 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a59c569ca88944f03524e0c707e76990
Autor:
Roy Mikael Skjelnes, David Rydh
Publikováno v:
Journal of the London Mathematical Society. 82:459-481
We construct a space $G^n_X$ and a rank $n$, generically etale family of closed subspaces in a separated ambient space $X$. The constructed pair satisfies a universal property of generically etale families of closed subspaces in $X$. This universal p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8bec81b5a6482f356ee0a2a9b9c229fb
https://doi.org/10.1112/jlms/jdq042
https://doi.org/10.1112/jlms/jdq042
Autor:
David Rydh
Raynaud--Gruson characterized flat and pure morphisms between affine schemes in terms of projective modules. We give a similar characterization for non-affine morphisms. As an application, we show that every quasi-coherent sheaf is the union of its f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a702526a8c51a85b86e1656be34bc83a
http://arxiv.org/abs/1408.6698
http://arxiv.org/abs/1408.6698
Autor:
Jack Hall, David Rydh
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95b1bd3131e6135b094445cf4b32a2c7
Autor:
Jack Hall, David Rydh
Let $k$ be a field. We characterize the group schemes $G$ over $k$, not necessarily affine, such that $\mathsf{D}_{\mathrm{qc}}(B_kG)$ is compactly generated. We also describe the algebraic stacks that have finite cohomological dimension in terms of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f75fd2e9aad5d591e72b646b35851ebb