Endomorphism Algebras of Jacobians

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Endomorphism algebras of Jacobians

where K is a subfield of even index at most 10 in a primitive cyclotomic field Q(ζp), or a subfield of index 2 in Q(ζpq) or Q(ζpα ). This result generalizes previous work of Brumer, Mestre, and Tautz-Top-Verberkmoes. Our curves are constructed as branched covers of the projective line, and the endomorphisms arise as quotients of double coset algebras of the Galois groups of these coverings. In ...

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2001

ISSN: 0001-8708

DOI: 10.1006/aima.2001.1994