Centers of Hodge groups of superelliptic jacobians

2009/07/09 by Jiangwei Xue, Xue, Jiangwei, Yuri G. Zarhin +1 · 1 citation
Mathematics · #11G30 #14H40 #14K05 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:11G30 #msc:14H40 #msc:14K05

paper · pdf · doi:10.48550/arxiv.0907.1563

29 pages, the paper will appear in Transformation Groups

openalex publication_date 2009/07/09 · arxiv created 2010/01/21 · arxiv updated 2010/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give lower bounds for dimensions of the centers of Hodge groups of superelliptic jacobians. In "generic case" this bound is precise. We also discuss dimensions of simple abelian subvarieties of superelliptic jacobians.

Citations

• The endomorphism rings of jacobians of cyclic covers of the projective line

Cited by

• Hodge groups of certain superelliptic jacobians

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