Centers of Hodge groups of superelliptic jacobians
Jiangwei Xue, Yuri G. Zarhin
TL;DR
This paper establishes lower bounds for the dimensions of centers of Hodge groups in superelliptic jacobians, providing exact bounds in generic cases and exploring subvariety dimensions.
Contribution
It introduces new lower bounds for Hodge group centers of superelliptic jacobians and analyzes their simple abelian subvarieties, advancing understanding of their structure.
Findings
Lower bounds for centers of Hodge groups are provided.
Exact bounds are achieved in generic cases.
Dimensions of simple abelian subvarieties are discussed.
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.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models