The Weil-Moore anima refines the Weil group into a space with higher homotopy groups to improve its cohomological behavior for number fields.
A K-theoretic approach to Artin maps
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We define a functorial "Artin map" attached to any small $\bf{Z}$-linear stable $\infty$-category, which in the case of perfect complexes over a global field recovers the usual Artin map from the idele class group to the abelianized absolute Galois group. In particular, this gives a new proof of the Artin reciprocity law.
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Introduces F-gauges over prisms, constructs syntomic cycle classes, and proves prismatic Poincaré duality for proper smooth schemes.
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Weil-Moore anima
The Weil-Moore anima refines the Weil group into a space with higher homotopy groups to improve its cohomological behavior for number fields.
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Syntomic cycle classes and prismatic Poincar\'e duality
Introduces F-gauges over prisms, constructs syntomic cycle classes, and proves prismatic Poincaré duality for proper smooth schemes.