Non-isogenous superelliptic jacobians
Abstract
Description
In his previous papers (J. reine angew. Math. 544 (2002), 91--110; math.AG/0103203) the author introduced a certain explicit construction of superelliptic jacobians, whose endomorphism ring is the ring of integers in the $p$th cyclotomic field. (Here $p$ is an odd prime.)
In the present paper we discuss when these jacobians are mutually non-isogenous. (The case of hyperelliptic jacobians was treated in author's e-print math.NT/0301173 .)
LaTeX2e, 16 pages. We extend the main result to a broader class of superelliptic jacobians related to polynomials with doubly transitive Galois groups
LaTeX2e, 16 pages. We extend the main result to a broader class of superelliptic jacobians related to polynomials with doubly transitive Galois groups