44 citations · 47 across the 3 of their papers we have counts for
6 papers
Independence of for the supports in the Decomposition Theorem
Shenghao Sun
In this note, we prove a result on the independence of for the supports of irreducible perverse sheaves occurring in the Decomposition Theorem, as well as for the family of…
Generic Base Change, Artin's Comparison Theorem, and the Decomposition Theorem for Complex Artin stacks
Shenghao Sun
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…
Parity and symmetry in intersection and ordinary cohomology
Shenghao Sun, Weizhe Zheng
In this paper, we show that the Galois representations provided by -adic cohomology of proper smooth varieties, and more generally by -adic intersection cohomology of p…
Decomposition Theorem for Perverse sheaves on Artin stacks over finite fields
Shenghao Sun
We generalize the decomposition theorem for perverse sheaves to Artin stacks with affine stabilizers over finite fields.
L-series of Artin stacks over finite fields
Shenghao Sun
We reprove the Lefschetz trace formula for stacks (in the context of derived categories and the six operations for stacks developed by Laszlo and Olsson), and give the meromorphic…
Logarithmic Geometry and Moduli
Dan Abramovich, Qile Chen, Danny Gillam +4
We discuss the role played by logarithmic structures in the theory of moduli.