Minimal truncations of supersingular $p$-divisible groups

• Autores: Marc-Hubert Nicole, Adrian Vasiu
• Localización: Indiana university mathematics journal, ISSN 0022-2518, Vol. 56, Nº 6, 2007, págs. 2887-2898
• Idioma: inglés
• DOI: 10.1512/iumj.2007.56.3110
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• Resumen

  • 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.pd.). This proves Traverso�s truncation conjecture for supersingular p-divisible groups. If H has a principal quasi-polarization , we show that .H; . is also uniquely determined up to isomorphism by its principally quasi-polarized truncated Barsotti-Tate group of level d (i.e., by .H.pd.; .pd..).