Resumen de Minimal truncations of supersingular $p$-divisible groups
Marc-Hubert Nicole, Adrian Vasiu
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..).
