Intermediate extensions of perverse constructible $\mathbb{F}_p$-sheaves commute with smooth pullbacks
Year: 2016
Type: preprint
Abstract: We prove that intermediate extensions of perverse constructible $\mathbb{F}_p$-sheaves commute with smooth pullbacks for schemes admitting a closed embedding into a smooth scheme over a field of characteristic $p$ (embeddable schemes for short). Along the way we also prove that the equivalence of categories of Cartier crystals with unit $R[F]$-modules commutes with $f^!$ for a smooth morphism $f: X \to Y$ of embeddable schemes.
Source: arXiv (Cornell University)
Author: Stäbler, Axel
Institutions: Johannes Gutenberg University Mainz, University of Michigan
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2561316062