Superelliptic jacobians

2006/01/04 by Yuri G. Zarhin, Zarhin, Yuri G.
Mathematics · #14H40 #14K05 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:14H40 #msc:14K05

paper · pdf · doi:10.48550/arxiv.math/0601072

21 pages

arxiv created 2006/05/27 · arxiv updated 2009/12/01

Abstract

We discuss the structure of the endomorphism algebras of the jacobians of superelliptic curves y^q=f(x) where q is a prime power and f(x) is an irreducible cubic or quartic polynomial over the field of rational functions k(t) in characteristic zero, whose Galois group is the full symmetric group.

Related

• Endomorphism algebras of Jacobians of certain superelliptic curves
• Endomorphism algebras of hyperelliptic jacobians and finite projective lines
• Non-supersingular Hyperelliptic jacobians
• Endomorphisms of ordinary superelliptic jacobians
• Hyperelliptic jacobians with real multiplication