Geometric class field theory and Cartier duality

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.

References in corpus (3)

• Modules Over a Chiral Algebra
• Universal factorization spaces and algebras
• Geometric Class Field Theory

Cited by in corpus (1)

• An Extension of the Kazhdan-Lusztig Equivalence