Generic Base Change, Artin's Comparison Theorem, and the Decomposition Theorem for Complex Artin stacks
Algebraic Geometry
2018-03-02 v1
Abstract
We prove the generic base change theorem for stacks, and give an exposition on the lisse-analytic topos of complex analytic stacks, proving some comparison theorems between various derived categories of complex analytic stacks. This enables us to deduce the decomposition theorem for perverse sheaves on complex Artin stacks with affine stabilizers from the case over finite fields.
Cite
@article{arxiv.1511.01393,
title = {Generic Base Change, Artin's Comparison Theorem, and the Decomposition Theorem for Complex Artin stacks},
author = {Shenghao Sun},
journal= {arXiv preprint arXiv:1511.01393},
year = {2018}
}
Comments
33 pages; submitted