Traverso's isogeny conjecture for p-divisible groups
Marc-Hubert Nicole, Adrian Vasiu
Abstract
Let k be an algebraically closed field of characteristic p>0. Let c,d∈. Let bc,d 1 be the smallest integer such that for any two p-divisible groups H and H over k of codimension c and dimension d the following assertion holds: If H[pbc,d] and H[pbc,d] are isomorphic, then H and H are isogenous. We show that bc,d=cd c+d. This proves Traverso's isogeny conjecture for p-divisible groups over k.
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