On the Contou-Carrere Symbol for Surfaces

Abstract

This is a preliminary report on the Contou-Carrere symbol for surfaces. It consists of two parts. In the first part, we recall technical results needed to define the symbol. The second part is where we compute all components of the Coutou-Carrere symbol for surfaces, using iterated integrals over membranes.

26 pages

References in corpus (3)

• Non-commutative Two Dimensional Modular Symbol
• Non-commutative Hilbert modular symbols
• A refinement of the Parshin symbol for surfaces