2006/06/30 by Marc-Hubert Nicole, Adrian Vasiu · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Finite Group Theory Research #math.AG #math.NT #msc:11G10 #msc:11G18 #msc:14L05
paper · pdf · doi:10.1512/iumj.2007.56.3110
published as Indiana Univ. Math. J. {\bf 56} (2007), no. 6, pp. 2887-2897 · 9 pages, LaTex; to appear in Indiana Univ. Math. J
openalex publication_date 2007/01/01 · arxiv created 2007/07/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
ABSTRACT. Let k be an algebraically closed field of characteristic p> 0. Let H be a supersingular p-divisible group over k of height 2d. We show that H is uniquely determined up to isomorphism by its truncation of level d (i.e., by H[p d]). This proves Traverso’s truncation conjecture for supersingular p-divisible groups. If H has a principal quasi-polarization λ, we show that (H, λ) is also uniquely determined up to isomorphism by its principally quasi-polarized truncated Barsotti–Tate group of level d (i.e., by (H[p d], λ[p d])). MSC 2000: 11G10, 11G18, and 14L05. 1.