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2021 On the Boundary Components of Central Streams
Nobuhiro Higuchi
Author Affiliations +
Taiwanese J. Math. Advance Publication 1-35 (2021). DOI: 10.11650/tjm/210304


Foliations on the space of $p$-divisible groups were studied by Oort in 2004. In his theory, special leaves called central streams 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.

Funding Statement

This research is partially supported by Grant-in-Aid for JSPS Fellows.


I thank the referee for careful reading and helpful comments. This paper is written when the author was a Ph.D. student. I thank the supervisor Professor Harashita for the constant support from the early stage of this paper.


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Nobuhiro Higuchi. "On the Boundary Components of Central Streams." Taiwanese J. Math. Advance Publication 1 - 35, 2021.


Published: 2021
First available in Project Euclid: 1 April 2021

Digital Object Identifier: 10.11650/tjm/210304

Primary: 14L15
Secondary: 14K10, 14L05

Rights: Copyright © 2021 The Mathematical Society of the Republic of China


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