A Luna étale slice theorem for algebraic stacks
Jarod Alper, Jack Hall, David Rydh
Abstract
We prove that every algebraic stack, locally of finite type over an algebraically closed field with affine stabilizers, is étale-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.
Topics & Concepts
MathematicsAlgebraic numberAlgebra over a fieldPure mathematicsCalculus (dental)Mathematical analysisMedicineDentistryPolynomial and algebraic computationAlgebraic Geometry and Number TheoryMathematics and Applications