Publisher
ANNALS MATHEMATICS, FINE HALLCitation
Alper, J., Hall, J., & Rydh, D. (2020). A Luna étale slice theorem for algebraic stacks. Annals of Mathematics, 191(3), 675-738. https://doi.org/10.4007/annals.2020.191.3.1Journal
ANNALS OF MATHEMATICSRights
© 2020 Department of Mathematics, Princeton University.Collection Information
This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.Abstract
We prove that every algebraic stack, locally of finite type over an algebraically closed field with affine stabilizers, is (tale-locally a quotient stack in a neighborhood of a point with a linearly reductive stabilizer group. The proof uses an equivariant version of Artin's algebraization theorem proved in the appendix. We provide numerous applications of the main theorems.ISSN
0003-486XVersion
Final accepted manuscriptae974a485f413a2113503eed53cd6c53
10.4007/annals.2020.191.3.1