3 papers
math.AG2026
Characteristic cycles and non-acyclicity classes for constructible étale sheaves
Kaicheng Bao, Jiangnan Xiong, Enlin Yang
Let be a morphism between smooth schemes over a perfect field . Let be a constructible sheaf on and a closed subscheme of such that is $S…
math.AG2026
Singular supports, characteristic cycles, and microlocalization of constructible sheaves
Takeshi Saito, Jiangnan Xiong, Enlin Yang
For a constructible sheaf on a smooth scheme over a perfect field, the singular support and the characteristic cycle are defin…
math.AG2025
Additivity of non-acyclicity classes for constructible étale sheaves
Jiangnan Xiong
Using a bivariant version of cohomological correspondences, we establish a categorical trace-like formula for the non-acyclicity classes introduced by Yang and Zhao (arXiv:2209.110…