Some results on the motivic nearby cycle
Algebraic Geometry
2022-08-23 v4 K-Theory and Homology
Abstract
We extend Ayoub's formalism of motivic nearby cycle functor to the -categorical level, and prove some desired cohomological properties by relating the motivic nearby cycle functor to the notion of local acyclicity in motivic homotopy.
Keywords
Cite
@article{arxiv.2107.08603,
title = {Some results on the motivic nearby cycle},
author = {Fangzhou Jin and Enlin Yang},
journal= {arXiv preprint arXiv:2107.08603},
year = {2022}
}