Endomorphism algebras of hyperelliptic jacobians and finite projective lines II

Arsen Elkin, Yuri G. Zarhin

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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 languageEnglish (US)
Pages (from-to)1-23
Number of pages23
JournalJournal of the Ramanujan Mathematical Society
Volume25
Issue number1
StatePublished - Mar 2010

All Science Journal Classification (ASJC) codes

  • General Mathematics

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