Formal punctured ribbons and two-dimensional local fields

Abstract

We investigate formal ribbons on curves. Roughly speaking, formal ribbon is a family of locally linearly compact vector spaces on a curve. We establish a one-to-one correspondence between formal ribbons on curves plus some geometric data and some subspaces of two-dimensional local field.

38 pages, minor changes

References in corpus (3)

• The elliptic curve in the S-duality theory and Eisenstein series for Kac-Moody groups
• Krichever correspondence for algebraic varieties
• On a Ring of Formal Pseudo-differential Operators

Cited by in corpus (1)

• Schur-Sato theory for quasi-elliptic rings