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.
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FJOURNAL = {Institut des Hautes \'{E}tudes Scientifiques. Publications Mathématiques},
NUMBER = {28},
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MRNUMBER = {217086},
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}