Traverso's isogeny conjecture for p-divisible groups
| dc.creator | Nicole, Marc-Hubert | |
| dc.creator | Vasiu, Adrian | |
| dc.date | 2006-06-30 | |
| dc.date | 2007-01-18 | |
| dc.date.accessioned | 2026-07-07T09:58:31Z | |
| dc.date.available | 2026-07-07T09:58:31Z | |
| dc.description | Let $k$ be an algebraically closed field of characteristic $p>0$. Let $c,d\in\dbN$. Let $b_{c,d}\ge 1$ be the smallest integer such that for any two $p$-divisible groups $H$ and $H^\prime$ over $k$ of codimension $c$ and dimension $d$ the following assertion holds: If $H[p^{b_{c,d}}]$ and $H^\prime[p^{b_{c,d}}]$ are isomorphic, then $H$ and $H^\prime$ are isogenous. We show that $b_{c,d}=\lceil{cd\over {c+d}}\rceil$. This proves Traverso's isogeny conjecture for $p$-divisible groups over $k$. | |
| dc.description | 8 pages, laTex; to appear in Rend. Sem. Mat. Univ. Padova | |
| dc.identifier | https://arxiv.org/abs/math/0606780 | |
| dc.identifier | http://arxiv.org/abs/math/0606780 | |
| dc.identifier | Rend. Semin. Mat. Univ. Padova 118 (2007), 73--83 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167747 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11G10, 11G18, 14F30, 14G35, 14L05 | |
| dc.title | Traverso's isogeny conjecture for p-divisible groups | |
| dc.type | text |