Formal groups arising from formal punctured ribbons

TL;DR

This paper studies the Picard functor of formal punctured ribbons, proving its representability as a formal group scheme under certain conditions, thus advancing understanding of their algebraic structure.

Contribution

It establishes conditions under which the Picard functor of a formal punctured ribbon is representable by a formal group scheme, extending previous foundational work.

Findings

Picard functor is representable under specific conditions

Formal punctured ribbons introduced in prior work

Results contribute to algebraic geometry of formal schemes

Abstract

We investigate Picard functor of a formal punctured ribbon. We prove that under some conditions this functor is representable by a formal group scheme. Formal punctured ribbons were introduced in arXiv:0708.0985.