Duke Mathematical Journal

On the slope filtration

Thomas Zink

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Let X be a p-divisible group over a regular scheme S such that the Newton polygon in each geometric point of S is the same. Then there is a p-divisible group isogenous to X which has a slope filtration.

Article information

Duke Math. J., Volume 109, Number 1 (2001), 79-95.

First available in Project Euclid: 5 August 2004

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14L05: Formal groups, $p$-divisible groups [See also 55N22]
Secondary: 14F20: Étale and other Grothendieck topologies and (co)homologies 14F30: $p$-adic cohomology, crystalline cohomology


Zink, Thomas. On the slope filtration. Duke Math. J. 109 (2001), no. 1, 79--95. doi:10.1215/S0012-7094-01-10913-7. https://projecteuclid.org/euclid.dmj/1091737222

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