# On the boundary components of central streams

## TL;DR

This paper classifies the boundary components of central streams in the space of p-divisible groups for any Newton polygon, enhancing understanding of their structure and boundaries.

## Contribution

It provides a complete classification of boundary components of central streams for arbitrary Newton polygons in the unpolarized case.

## Key findings

- Complete classification of boundary components achieved.
- Enhanced understanding of the structure of central streams.
- Potential implications for studying other leaves and boundary structures.

## Abstract

Foliations on the space of $p$-divisible groups were studied by Oort in 2004. In his theory, special leaves called central stream play an important role. In this paper, we give a complete classification of the boundary components of the central streams for an arbitrary Newton polygon in the unpolarized case. Hopefully this classification would help us to know the boundaries of other leaves and more detailed structure of the boundaries of central streams.