Syntomic cycle classes and prismatic Poincaré duality

We introduce $F$ -gauges over a prism, construct syntomic cycle classes, and prove the prismatic Poincaré duality for proper smooth schemes.

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Publication Details

Journal
Compositio Mathematica
Published
2024-10-01
DOI
https://doi.org/10.1112/s0010437x24007334
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

Syntomic cycle classes and prismatic Poincaré duality

Longke Tang
Compositio Mathematica
Homotopy and Cohomology in Algebraic Topology
article

Syntomic cycle classes and prismatic Poincaré duality

Longke Tang
article en

Abstract

We introduce $F$ -gauges over a prism, construct syntomic cycle classes, and prove the prismatic Poincaré duality for proper smooth schemes.

Compositio MathematicaVol. 160(10)
Princeton University (US)
Hausdorff Center for Mathematics, Hausdorff Research Institute for Mathematics
Openalex Percentile: Top 71%
Homotopy and Cohomology in Algebraic Topology
DOIOpen Access PDFOpenAlex
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Syntomic cycle classes and prismatic Poincaré duality — Longke Tang · Compositio Mathematica (2024) | TGRS Research Map | TGRS