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arXiv · 1710.02892

Geometric class field theory and Cartier duality

Justin Campbell·Andreas Hayash
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Abstract

We formulate and prove a generalized Albanese property for families of maps from a smooth curve over an arbitrary field into a commutative group stack. Our proof, which is mostly self-contained, employs local-to-global techniques and some new Ext-vanishing results to reduce to the local Cartier self-duality theorem of Contou-Carrere. As a corollary, we reprove local and global geometric class field theory with arbitrary ramification.

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Justin Campbell, Andreas Hayash. 2017-10-08. Geometric class field theory and Cartier duality. https://arxiv.org/abs/1710.02892

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