We show that there are no non-zero semi-stable abelian varieties over with good reduction outside 3 and we show that the only semi-stable abelian varieties over Q with good reduction outside 15 are, up to isogeny over Q, powers of the Jacobian of the modular curve X (0)(15).
Schoof, R.j. (2012). Semistable abelian varieties with good reduction outside 15. MANUSCRIPTA MATHEMATICA, 139(1-2), 49-70 [10.1007/s00229-011-0509-y].
Semistable abelian varieties with good reduction outside 15
SCHOOF, RENATUS JOHANNES
2012-01-01
Abstract
We show that there are no non-zero semi-stable abelian varieties over with good reduction outside 3 and we show that the only semi-stable abelian varieties over Q with good reduction outside 15 are, up to isogeny over Q, powers of the Jacobian of the modular curve X (0)(15).File in questo prodotto:
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