Formal punctured ribbons and two-dimensional local fields

Mathematics – Algebraic Geometry

Scientific paper

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38 pages, minor changes

Scientific paper

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.

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