Geometric class field theory and Cartier duality
Algebraic Geometry
2021-03-16 v2
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.
Cite
@article{arxiv.1710.02892,
title = {Geometric class field theory and Cartier duality},
author = {Justin Campbell and Andreas Hayash},
journal= {arXiv preprint arXiv:1710.02892},
year = {2021}
}