Syntomic cycle classes and prismatic Poincar\'e duality
Algebraic Geometry
2026-04-28 v2 Number Theory
Abstract
We introduce -gauges over a prism, construct syntomic cycle classes, and prove the prismatic Poincar\'e duality for proper smooth schemes.
Cite
@article{arxiv.2210.14279,
title = {Syntomic cycle classes and prismatic Poincar\'e duality},
author = {Longke Tang},
journal= {arXiv preprint arXiv:2210.14279},
year = {2026}
}
Comments
Minor corrections; replaced the term "cycle map'' with the more appropriate term "Gysin map''; expanded the proof of the Poincar\'e duality for Hodge cohomology; to appear in Compositio Mathematica