2017/10/08 by Campbell, Justin, Hayash, Andreas · 2 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1710.02892
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.