Abstract
We prove that the jacobian of a hyperelliptic curve y2 = f(x) is either absolutely simple or isogenous to a self-product of a CM elliptic curve if deg(f) = q+1 where q is a power prime congruent to 7 modulo 8, the polynomial f(x) is irreducible over the ground field of characteristic zero and its Galois group is L2(q).
Original language | English (US) |
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Pages (from-to) | 1-23 |
Number of pages | 23 |
Journal | Journal of the Ramanujan Mathematical Society |
Volume | 25 |
Issue number | 1 |
State | Published - Mar 2010 |
All Science Journal Classification (ASJC) codes
- General Mathematics